Strings Gauge Fields And The Geometry Behind The Legacy Of Maximilian Kreuzer

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Strings, Gauge Fields, and the Geometry Behind

Author : Anton Rebhan
Publisher : World Scientific
ISBN 13 : 9814412546
Total Pages : 566 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Strings, Gauge Fields, and the Geometry Behind by : Anton Rebhan

Download or read book Strings, Gauge Fields, and the Geometry Behind written by Anton Rebhan and published by World Scientific. This book was released on 2013 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West. Besides a collection of review and research articles from high-profile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corresponding mathematical developments, this book contains a pedagogical account of the important work of Brandt, Dragon, and Kreuzer on classification of anomalies in gauge theories. This highly cited work, which is also quoted in the textbook of Steven Weinberg on quantum field theory, has not yet been presented in full detail except in private lecture notes by Norbert Dragon. Similarly, the software package PALP (Package for Analyzing Lattice Polytopes with applications to toric geometry), which has been incorporated in the SAGE (Software for Algebra and Geometry Experimentation) project, has not yet been documented in full detail. This book contains a user manual for a new thoroughly revised version of PALP. By including these two very useful original contributions, researchers in quantum field theory, string theory, and mathematics will find added value in a pedagogical presentation of the classification of quantum gauge field anomalies, and the accompanying comprehensive manual and tutorial for the powerful software package PALP.

Geometry of String Theory Compactifications

Author : Alessandro Tomasiello
Publisher : Cambridge University Press
ISBN 13 : 1108473733
Total Pages : 677 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Geometry of String Theory Compactifications by : Alessandro Tomasiello

Download or read book Geometry of String Theory Compactifications written by Alessandro Tomasiello and published by Cambridge University Press. This book was released on 2022-01-13 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Author : Ilarion V. Melnikov
Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 490 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Machine Learning In Pure Mathematics And Theoretical Physics

Author : Yang-hui He
Publisher : World Scientific
ISBN 13 : 1800613717
Total Pages : 418 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Machine Learning In Pure Mathematics And Theoretical Physics by : Yang-hui He

Download or read book Machine Learning In Pure Mathematics And Theoretical Physics written by Yang-hui He and published by World Scientific. This book was released on 2023-06-21 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The juxtaposition of 'machine learning' and 'pure mathematics and theoretical physics' may first appear as contradictory in terms. The rigours of proofs and derivations in the latter seem to reside in a different world from the randomness of data and statistics in the former. Yet, an often under-appreciated component of mathematical discovery, typically not presented in a final draft, is experimentation: both with ideas and with mathematical data. Think of the teenage Gauss, who conjectured the Prime Number Theorem by plotting the prime-counting function, many decades before complex analysis was formalized to offer a proof.Can modern technology in part mimic Gauss's intuition? The past five years saw an explosion of activity in using AI to assist the human mind in uncovering new mathematics: finding patterns, accelerating computations, and raising conjectures via the machine learning of pure, noiseless data. The aim of this book, a first of its kind, is to collect research and survey articles from experts in this emerging dialogue between theoretical mathematics and machine learning. It does not dwell on the well-known multitude of mathematical techniques in deep learning, but focuses on the reverse relationship: how machine learning helps with mathematics. Taking a panoramic approach, the topics range from combinatorics to number theory, and from geometry to quantum field theory and string theory. Aimed at PhD students as well as seasoned researchers, each self-contained chapter offers a glimpse of an exciting future of this symbiosis.

Memorial Volume On Abdus Salam's 90th Birthday

Author : Lars Brink
Publisher : World Scientific
ISBN 13 : 9813144882
Total Pages : 543 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Memorial Volume On Abdus Salam's 90th Birthday by : Lars Brink

Download or read book Memorial Volume On Abdus Salam's 90th Birthday written by Lars Brink and published by World Scientific. This book was released on 2017-03-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This book presents a timely set of academic and intellectual views on Salam’s scientific passion, contribution and personality, and will be of great interest to academics in the fields of particle physics, high energy physics and scientific history of the developing world.'Contemporary PhysicsIn honor of one of the most prolific and exciting scientists of the second half of the last century, a memorial meeting was organized by the Institute of Advanced Studies at Nanyang Technological University for Professor Abdus Salam's 90th Birthday in January 2016.Salam believed that 'scientific thought is the common heritage of all mankind' and that the developing world should play its part, not merely by importing technology but by being the arbiter of its own scientific destiny. That belief saw him rise from humble beginnings in a village in Pakistan to become one of the world's most original and influential particle physicists, culminating in the 1979 Nobel Prize (shared with Glashow and Weinberg) for contributions to electroweak unification, which forms an integral part of the Standard Model.The book collected the papers presented at this memorable event which saw many distinguished scientists participating as speakers to reflect on Prof Salam's great passion for the science and achievements.

Holographic Quantum Matter

Author : Sean A. Hartnoll
Publisher : MIT Press
ISBN 13 : 0262348020
Total Pages : 407 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Holographic Quantum Matter by : Sean A. Hartnoll

Download or read book Holographic Quantum Matter written by Sean A. Hartnoll and published by MIT Press. This book was released on 2018-03-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.

Conversations on Quantum Gravity

Author : Jácome (Jay) Armas
Publisher : Cambridge University Press
ISBN 13 : 1316731871
Total Pages : 720 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Conversations on Quantum Gravity by : Jácome (Jay) Armas

Download or read book Conversations on Quantum Gravity written by Jácome (Jay) Armas and published by Cambridge University Press. This book was released on 2021-08-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The holy grail of theoretical physics is to find the theory of everything that combines all the forces of nature, including gravity. This book addresses the question: how far are we from such discovery? Over the last few decades, multiple roads to finding a quantum theory of gravity have been proposed but no obvious description of nature has emerged in this domain. What is to be made of this situation? This volume probes the state-of-the art in this daunting quest of theoretical physics by collecting critical interviews with nearly forty leading theorists in this field. These broad-ranging conversations give important insights and candid opinions on the various approaches to quantum gravity, including string theory, loop quantum gravity, causal set theory and asymptotic safety. This unique, readable overview provides a gateway into cutting edge research for students and others who wish to engage with the open problem of quantum gravity.

Theoretical Physics to Face the Challenge of LHC

Author : Laurent Baulieu
Publisher : OUP Oxford
ISBN 13 : 0191043834
Total Pages : 439 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Theoretical Physics to Face the Challenge of LHC by : Laurent Baulieu

Download or read book Theoretical Physics to Face the Challenge of LHC written by Laurent Baulieu and published by OUP Oxford. This book was released on 2015-01-22 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gathers the lecture notes of the Les Houches Summer School that was held in August 2011 for an audience of advanced graduate students and post-doctoral fellows in particle physics, theoretical physics, and cosmology, areas where new experimental results were on the verge of being discovered at CERN. Every Les Houches School has its own distinct character. This one was held during a summer of great anticipation that at any moment contact might be made with the most recent theories of the nature of the fundamental forces and the structure of space-time. In fact, during the session, the long anticipated discovery of the Higgs particle was announced. The book vividly describes the fruitful and healthy "schizophrenia" that is the rule among the community of theoreticians who have split into several components: those doing phenomenology, and those dealing with highly theoretical problems, with a few trying to bridge both domains. The lectures by theoreticians covered many directions in the theory of elementary particles, from classics such as the Supersymmetric Standard Model to very recent ideas such as the relation between black holes, hydrodynamics, and gauge-gravity duality. The lectures by experimentalists explained in detail how intensively and how precisely the LHC collider has verified the theoretical predictions of the Standard Model, predictions that were at the front lines of experimental discovery during the 70's, 80's and 90's, and how the LHC is ready to make new discoveries. They described many of the ingenious and pioneering techniques developed at CERN for the detection and the data analysis of billions of billions of proton-proton collisions.

CERN Courier

Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis CERN Courier by :

Download or read book CERN Courier written by and published by . This book was released on 2013 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Homological Mirror Symmetry

Author : Anton Kapustin
Publisher : Springer Science & Business Media
ISBN 13 : 3540680292
Total Pages : 281 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Homological Mirror Symmetry by : Anton Kapustin

Download or read book Homological Mirror Symmetry written by Anton Kapustin and published by Springer Science & Business Media. This book was released on 2009 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal reference on the mathematical aspects of quantum field theory, this volume provides a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives.

Foundations of Computational Mathematics

Author : Ronald A. DeVore
Publisher : Cambridge University Press
ISBN 13 : 9780521003490
Total Pages : 418 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Foundations of Computational Mathematics by : Ronald A. DeVore

Download or read book Foundations of Computational Mathematics written by Ronald A. DeVore and published by Cambridge University Press. This book was released on 2001-05-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.

A Rosicrucian Notebook

Author : Willy Schrodter
Publisher : Weiser Books
ISBN 13 : 9780877287575
Total Pages : 320 pages
Book Rating : 4.2/5 (875 download)

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Book Synopsis A Rosicrucian Notebook by : Willy Schrodter

Download or read book A Rosicrucian Notebook written by Willy Schrodter and published by Weiser Books. This book was released on 1992-04-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is incredibly valuable to students of various esoteric traditions because the notes and excerpts are taken from private and previously unpublished sources, and from authors whose out-of-print books are not readily accessible. Interesting information has been collected and annotated concerning such topics as blood telegraphy, ever-burning lamps, optics, spiritual skills in healing, transplantation, apparent death, isopathy, and magnetism. Includes a look into a Rosicrucian workshop.

The Theory of Jacobi Forms

Author : Martin Eichler
Publisher : Springer Science & Business Media
ISBN 13 : 1468491628
Total Pages : 156 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Theory of Jacobi Forms by : Martin Eichler

Download or read book The Theory of Jacobi Forms written by Martin Eichler and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz· k CT +d a-r +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl( -r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: ~-+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form.

Inflation and String Theory

Author : Daniel Baumann
Publisher : Cambridge University Press
ISBN 13 : 1316240967
Total Pages : 395 pages
Book Rating : 4.3/5 (162 download)

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Book Synopsis Inflation and String Theory by : Daniel Baumann

Download or read book Inflation and String Theory written by Daniel Baumann and published by Cambridge University Press. This book was released on 2015-04-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past two decades have seen transformative advances in cosmology and string theory. Observations of the cosmic microwave background have revealed strong evidence for inflationary expansion in the very early universe, while new insights about compactifications of string theory have led to a deeper understanding of inflation in a framework that unifies quantum mechanics and general relativity. Written by two of the leading researchers in the field, this complete and accessible volume provides a modern treatment of inflationary cosmology and its connections to string theory and elementary particle theory. After an up-to-date experimental summary, the authors present the foundations of effective field theory, string theory, and string compactifications, setting the stage for a detailed examination of models of inflation in string theory. Three appendices contain background material in geometry and cosmological perturbation theory, making this a self-contained resource for graduate students and researchers in string theory, cosmology, and related fields.

Gauss-Manin Connection in Disguise

Author : Hossein Movasati
Publisher :
ISBN 13 : 9781571463432
Total Pages : 180 pages
Book Rating : 4.4/5 (634 download)

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Book Synopsis Gauss-Manin Connection in Disguise by : Hossein Movasati

Download or read book Gauss-Manin Connection in Disguise written by Hossein Movasati and published by . This book was released on 2017 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book intends to construct a theory of modular forms for families of Calabi-Yau threefolds with Hodge numbers of the third cohomology equal to one. It discusses many differences and similarities between the new theory and the classical theory of modular forms defined on the upper half plane. The main examples of the new theory are topological string partition functions which encode the Gromov-Witten invariants of the mirror Calabi-Yau threefolds. It is mainly written for two primary target audiences: researchers in classical modular and automorphic forms who wish to understand the q-expansions of physicists derived from Calabi-Yau threefolds, and mathematicians in enumerative algebraic geometry who want to understand how mirror symmetry counts rational curves in compact Calabi-Yau threefolds. This book is also recommended for mathematicians who work with automorphic forms and their role in algebraic geometry, in particular for those who have noticed that the class of algebraic varieties involved in their study is limited: for instance, it does not include compact non-rigid Calabi-Yau threefolds. A basic knowledge of complex analysis, differential equations, algebraic topology and algebraic geometry is required for a smooth reading of the book.

Vertex Operator Algebras and the Monster

Author : Igor Frenkel
Publisher : Academic Press
ISBN 13 : 0080874541
Total Pages : 563 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Vertex Operator Algebras and the Monster by : Igor Frenkel

Download or read book Vertex Operator Algebras and the Monster written by Igor Frenkel and published by Academic Press. This book was released on 1989-05-01 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

Relativistic Quantum Information

Author : Fabrizio Tamburini
Publisher :
ISBN 13 : 9783039432608
Total Pages : 140 pages
Book Rating : 4.4/5 (326 download)

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Book Synopsis Relativistic Quantum Information by : Fabrizio Tamburini

Download or read book Relativistic Quantum Information written by Fabrizio Tamburini and published by . This book was released on 2020-10-12 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic quantum information is one of the most exciting fields of physics today. Not only does it open possibilities for new forms of computing but it also calls into question the peaceful coexistence between classical space-time and quantum physics with scenarios that reopen the relationships between locality and nonlocality in the foundational structure of physics. Curated by two international experts Ignazio Licata and Fabrizio Tamburini, this volume hosts a selection of particularly significant essays for the new territories, and is dedicated to the 60th anniversary of Prof. Ignazio Licata.