Scattering Amplitudes And Wilson Loops In Twistor Space

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Scattering Amplitudes and Wilson Loops in Twistor Space

Author : Mathew Richard Bullimore
Publisher : Springer Science & Business Media
ISBN 13 : 3319009095
Total Pages : 118 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Scattering Amplitudes and Wilson Loops in Twistor Space by : Mathew Richard Bullimore

Download or read book Scattering Amplitudes and Wilson Loops in Twistor Space written by Mathew Richard Bullimore and published by Springer Science & Business Media. This book was released on 2013-10-22 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering amplitudes are fundamental and rich observables in quantum field theory. Based on the observation that, for massless particles of spin-one or more, scattering amplitudes are much simpler than expected from traditional Feynman diagram techniques, the broad aim of this work is to understand and exploit this hidden structure. It uses methods from twistor theory to provide new insights into the correspondence between scattering amplitudes in supersymmetric Yang-Mills theory and null polygonal Wilson loops. By additionally exploiting the symmetries of the problem, the author succeeds in developing new ways of computing scattering amplitudes.

Scattering Amplitudes in Gauge Theory and Gravity

Author : Henriette Elvang
Publisher : Cambridge University Press
ISBN 13 : 1316195139
Total Pages : 337 pages
Book Rating : 4.3/5 (161 download)

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Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang

Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang and published by Cambridge University Press. This book was released on 2015-02-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research. Building on basic quantum field theory, the book starts with an introduction to the spinor helicity formalism in the context of Feynman rules for tree-level amplitudes. The material covered includes on-shell recursion relations, superamplitudes, symmetries of N=4 super Yang–Mills theory, twistors and momentum twistors, Grassmannians, and polytopes. The presentation also covers amplitudes in perturbative supergravity, 3D Chern–Simons matter theories, and color-kinematics duality and its connection to 'gravity=(gauge theory)x(gauge theory)'. Basic knowledge of Feynman rules in scalar field theory and quantum electrodynamics is assumed, but all other tools are introduced as needed. Worked examples demonstrate the techniques discussed, and over 150 exercises help readers absorb and master the material.

Scattering Amplitudes in Gauge Theories

Author : Johannes M. Henn
Publisher : Springer
ISBN 13 : 3642540228
Total Pages : 206 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Scattering Amplitudes in Gauge Theories by : Johannes M. Henn

Download or read book Scattering Amplitudes in Gauge Theories written by Johannes M. Henn and published by Springer. This book was released on 2014-02-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material present ed in the main text.

Grassmannian Geometry of Scattering Amplitudes

Author : Nima Arkani-Hamed
Publisher : Cambridge University Press
ISBN 13 : 1107086582
Total Pages : 205 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Grassmannian Geometry of Scattering Amplitudes by : Nima Arkani-Hamed

Symmetries of Maldacena-Wilson Loops from Integrable String Theory

Author : Hagen Münkler
Publisher : Springer
ISBN 13 : 3030036057
Total Pages : 210 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Symmetries of Maldacena-Wilson Loops from Integrable String Theory by : Hagen Münkler

Download or read book Symmetries of Maldacena-Wilson Loops from Integrable String Theory written by Hagen Münkler and published by Springer. This book was released on 2018-11-24 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality. This duality is a modern concept that asserts an exact duality between conformally invariant quantum field theories and string theories in higher dimensional Anti-de Sitter spaces, and in this way provides a completely new tool for the study of strongly coupled quantum field theories. In this setting, the book focuses on the Wilson loop, an important observable in four-dimensional maximally supersymmetric gauge theory. The dual string description using minimal surfaces enables a systematic study of the hidden symmetries of the loop. The book presents major findings, including the discovery of a master symmetry for strings in general symmetric spaces, its relation to the Yangian symmetry algebra and its action on the minimal surfaces appearing in the dual string description of the Wilson loop. Moreover, it clarifies why certain symmetries are not present on the gauge theory side for purely bosonic Wilson loops and, lastly, how the supersymmetrization of the minimal surface problem for type IIB superstrings can be undertaken. As such, it substantially increases our understanding and use of infinite dimensional symmetries occurring in the AdS/CFT correspondence.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

Author : Vladimir Dobrev
Publisher : Springer
ISBN 13 : 9811321795
Total Pages : 440 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 by : Vladimir Dobrev

Download or read book Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 written by Vladimir Dobrev and published by Springer. This book was released on 2018-09-30 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria. The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.

Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity

Author : Stefano Bellucci
Publisher : Springer Science & Business
ISBN 13 : 3319037749
Total Pages : 250 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity by : Stefano Bellucci

Download or read book Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity written by Stefano Bellucci and published by Springer Science & Business. This book was released on 2014-04-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the seventh volume in a series on the general topics of supersymmetry, supergravity, black objects (including black holes) and the attractor mechanism. The present volume is based on lectures held in March 2013 at the INFN-Laboratori Nazionali di Frascati during the Breaking of supersymmetry and Ultraviolet Divergences in extended Supergravity Workshop (BUDS 2013), organized by Stefano Bellucci, with the participation of prestigious speakers including P. Aschieri, E. Bergshoeff, M. Cederwall, T. Dennen, P. Di Vecchia, S. Ferrara, R. Kallosh, A. Karlsson, M. Koehn, B. Ovrut, A. Van Proeyen, G. Ruppeiner. Special attention is devoted to discussing topics related to the cancellation of ultraviolet divergences in extended supergravity and Born-Infeld-like actions. All talks were followed by extensive discussions and subsequent reworking of the various contributions a feature which is reflected in the unique "flavor" of this volume.

Space – Time – Matter

Author : Jochen Brüning
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110452154
Total Pages : 517 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Space – Time – Matter by : Jochen Brüning

Download or read book Space – Time – Matter written by Jochen Brüning and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-09 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity

Grassmannian Geometry of Scattering Amplitudes

Author : Nima Arkani-Hamed
Publisher : Cambridge University Press
ISBN 13 : 1316571645
Total Pages : 205 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Grassmannian Geometry of Scattering Amplitudes by : Nima Arkani-Hamed

Download or read book Grassmannian Geometry of Scattering Amplitudes written by Nima Arkani-Hamed and published by Cambridge University Press. This book was released on 2016-05-05 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.

Periods in Quantum Field Theory and Arithmetic

Author : José Ignacio Burgos Gil
Publisher : Springer Nature
ISBN 13 : 3030370313
Total Pages : 631 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Periods in Quantum Field Theory and Arithmetic by : José Ignacio Burgos Gil

Download or read book Periods in Quantum Field Theory and Arithmetic written by José Ignacio Burgos Gil and published by Springer Nature. This book was released on 2020-03-14 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory'' at the ICMAT (Instituto de Ciencias Matemáticas, Madrid) in 2014. The activity was aimed at understanding and deepening recent developments where Feynman and string amplitudes on the one hand, and periods and multiple zeta values on the other, have been at the heart of lively and fruitful interactions between theoretical physics and number theory over the past few decades. In this book, the reader will find research papers as well as survey articles, including open problems, on the interface between number theory, quantum field theory and string theory, written by leading experts in the respective fields. Topics include, among others, elliptic periods viewed from both a mathematical and a physical standpoint; further relations between periods and high energy physics, including cluster algebras and renormalisation theory; multiple Eisenstein series and q-analogues of multiple zeta values (also in connection with renormalisation); double shuffle and duality relations; alternative presentations of multiple zeta values using Ecalle's theory of moulds and arborification; a distribution formula for generalised complex and l-adic polylogarithms; Galois action on knots. Given its scope, the book offers a valuable resource for researchers and graduate students interested in topics related to both quantum field theory, in particular, scattering amplitudes, and number theory.

Combinatorial Aspects of Scattering Amplitudes

Author : Matteo Parisi
Publisher : Springer Nature
ISBN 13 : 3031410696
Total Pages : 237 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Combinatorial Aspects of Scattering Amplitudes by : Matteo Parisi

Download or read book Combinatorial Aspects of Scattering Amplitudes written by Matteo Parisi and published by Springer Nature. This book was released on 2023-12-11 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics. It is at the forefront of the recent paradigm shift according to which physical observables emerge from geometry and combinatorics. It is the first book on the amplituhedron, which encodes the scattering amplitudes of N=4 Yang-Mills theory, a cousin of the theory of strong interactions of quarks and gluons. Amplituhedra are generalizations of polytopes inside the Grassmannian, and they build on the theory of total positivity and oriented matroids. This book unveils many new combinatorial structures of the amplituhedron and introduces a new important related object, the momentum amplituhedron. Moreover, the work pioneers the connection between amplituhedra, cluster algebras and tropical geometry. Combining extensive introductions with proofs and examples, it is a valuable resource for researchers investigating geometrical structures emerging from physics for some time to come.

Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464963657
Total Pages : 2502 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition by :

Download or read book Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 2502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics. The editors have built Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Nuclear, High Energy, Plasma, Particle, and Condensed Matter Physics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Crossing the Boundaries

Author :
Publisher :
ISBN 13 : 9814465178
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Crossing the Boundaries by :

Download or read book Crossing the Boundaries written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Twistor Theory

Author : S. A. Huggett
Publisher : Cambridge University Press
ISBN 13 : 9780521456890
Total Pages : 196 pages
Book Rating : 4.4/5 (568 download)

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Book Synopsis An Introduction to Twistor Theory by : S. A. Huggett

Download or read book An Introduction to Twistor Theory written by S. A. Huggett and published by Cambridge University Press. This book was released on 1994 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.

Lectures on the Infrared Structure of Gravity and Gauge Theory

Author : Andrew Strominger
Publisher : Princeton University Press
ISBN 13 : 1400889855
Total Pages : 199 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Lectures on the Infrared Structure of Gravity and Gauge Theory by : Andrew Strominger

Download or read book Lectures on the Infrared Structure of Gravity and Gauge Theory written by Andrew Strominger and published by Princeton University Press. This book was released on 2018-03-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the field Lectures on the Infrared Structure of Gravity and Gauge Theory presents an accessible, graduate-level synthesis of a frontier research area in theoretical physics. Based on a popular Harvard University course taught by the author, this book gives a concise introduction to recent discoveries concerning the structure of gravity and gauge theory at very long distances. These discoveries unite three disparate but well-developed subjects in physics. The first subject is the soft theorems, which were found by particle physicists in the 1950s to control the behavior of low-energy photons and are essential for all collider predictions. The second subject is asymptotic symmetries, found by general relativists in the 1960s to provide a surprising, infinite number of exact relations between distinct physical phenomena. The third subject is the memory effect, the measurement of which is sought in upcoming gravitational wave observations. An exploration of the physical and mathematical equivalence of these three subjects has provided a powerful new perspective on old results and led to a plethora of new results, involving symmetries of QED, gluon scattering amplitudes, flat-space holography in quantum gravity, black hole information, and beyond. Uniquely connective and cutting-edge, Lectures on the Infrared Structure of Gravity and Gauge Theory takes students and scholars to the forefront of new developments in the discipline. Materials are presented in a "lecture notes" style with problem sets included Concise and accessible pedagogical approach Topics include soft theorems, the memory effect, asymptotic symmetries with applications to QED, Yang-Mills theory, quantum gravity, and black holes

Topological Geometrodynamics

Author : Matti Pitkanen
Publisher : Bentham Science Publishers
ISBN 13 : 1681081792
Total Pages : 1235 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Topological Geometrodynamics by : Matti Pitkanen

Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Bentham Science Publishers. This book was released on 2016-03-03 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.

Dualities, Helicity Amplitudes, and Little Conformal Symmetry

Author : Kitran Macey M. Colwell
Publisher : Springer
ISBN 13 : 3319673920
Total Pages : 107 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Dualities, Helicity Amplitudes, and Little Conformal Symmetry by : Kitran Macey M. Colwell

Download or read book Dualities, Helicity Amplitudes, and Little Conformal Symmetry written by Kitran Macey M. Colwell and published by Springer. This book was released on 2017-11-11 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops two exciting areas of particle physics research. It applies the recent new insights about the usefulness of helicity amplitudes in understanding gauge theory to the long-standing effort to understand theories with both electric and magnetic charges. It is known that for some supersymmetric theories there is an exact duality that relates two descriptions of the physics, one where the electric charges are weakly coupled and another where the electric charges are strongly coupled. The calculations in this thesis suggest that this duality can also hold in the low-energy limit of nonsupersymmetric gauge theories. The idea of addressing the hierarchy problem of the standard model Higgs mechanism using conformal symmetry is also explored. Analogously to “Little Higgs” models, where divergences are cancelled only at one-loop order, models are studied that have infrared conformal fixed points which related gauge and Yukawa couplings, allowing for a cancellation between seemingly unrelated quantum loop diagrams.