Initial Systematic Investigations of the Weakly Coupled Free Fermionic Heterotic String Landscape Statistics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (787 download)

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Book Synopsis Initial Systematic Investigations of the Weakly Coupled Free Fermionic Heterotic String Landscape Statistics by : Timothy Renner

Download or read book Initial Systematic Investigations of the Weakly Coupled Free Fermionic Heterotic String Landscape Statistics written by Timothy Renner and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A C++ framework was constructed with the explicit purpose of systematically generating string models using the Weakly Coupled Free Fermionic Heterotic String (WCFFHS) method. The software, optimized for speed, generality, and ease of use, has been used to conduct preliminary systematic investigations of WCFFHS vacua. Documentation for this framework is provided in the Appendix. After an introduction to theoretical and computational aspects of WCFFHS model build- ing, a study of ten-dimensional WCFFHS models is presented. Degeneracies among equivalent expressions of each of the known models are investigated and classified. A study of more phenomenologically realistic four-dimensional models based on the well known "NAHE" set is then presented, with statistics being reported on gauge content, matter representations, and space-time supersymmetries. The final study is a parallel to the NAHE study in which a variation of the NAHE set is systematically extended and examined statistically. Special attention is paid to models with "mirroring"--Identical observable and hidden sector gauge groups and matter representations.

Towards a Systematic Investigation of Weakly Coupled Free Fermionic Heterotic String Gauge Group Statistics

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ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (466 download)

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Book Synopsis Towards a Systematic Investigation of Weakly Coupled Free Fermionic Heterotic String Gauge Group Statistics by : Matthew B. Robinson

Download or read book Towards a Systematic Investigation of Weakly Coupled Free Fermionic Heterotic String Gauge Group Statistics written by Matthew B. Robinson and published by . This book was released on 2009 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate several issues regarding weakly coupled free fermionic heterotic string model building. After reviewing the necessary background, we first address an alternative interpretation of the GSO projection in terms of the Weyl conditions on the root space of the gauge group of a given model. We develop an algorithm to systematically generate and analyze string models very efficiently by linearizing the constraints. Next we investigate free fermionic model building from the approach of quantum computing algorithms. We also consider a few unique and interesting gauge groups which can arise in non-standard ways using this method. Then we develop a variation of the well known "NAHE" basis of (quasi)-realistic models with initial observable sector gauge group SO(10) that offers the possibility of a new class of models with an initial observable sector gauge group of E6. Finally we consider several topics regarding the applications of Optical Unification in string models.

The Landscape of Free Fermionic Gauge Models

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Publisher : Springer
ISBN 13 : 3319246186
Total Pages : 119 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Landscape of Free Fermionic Gauge Models by : Douglas G. Moore

Download or read book The Landscape of Free Fermionic Gauge Models written by Douglas G. Moore and published by Springer. This book was released on 2016-02-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. In their purest form, these models are maximally supersymmetric (N = 4), and thus only contain superpartners in their matter sector. This feature makes their systematic construction particularly efficient, and they are thus useful in their simplicity. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models. Three systematic surveys are then presented, and it is conjectured that these surveys are exhaustive modulo redundancies. Finally, the author presents a collection of metaheuristic algorithms for searching the landscape for models with a user-specified spectrum of phenomenological properties, e.g. gauge group and number of spacetime supersymmetries. Such algorithms provide the groundwork for extended generic free fermionic surveys.

String Theory and M-Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521860697
Total Pages : 756 pages
Book Rating : 4.8/5 (66 download)

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Book Synopsis String Theory and M-Theory by : Katrin Becker

Download or read book String Theory and M-Theory written by Katrin Becker and published by Cambridge University Press. This book was released on 2006-12-07 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.

Supersymmetry and String Theory

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Publisher : Cambridge University Press
ISBN 13 : 113946244X
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry and String Theory by : Michael Dine

Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

The Theory of Jacobi Forms

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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.

Strings and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821837153
Total Pages : 396 pages
Book Rating : 4.8/5 (371 download)

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Book Synopsis Strings and Geometry by : Clay Mathematics Institute. Summer School

Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.

Reinforcement Learning

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Publisher : Springer Science & Business Media
ISBN 13 : 3642276458
Total Pages : 653 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Reinforcement Learning by : Marco Wiering

Download or read book Reinforcement Learning written by Marco Wiering and published by Springer Science & Business Media. This book was released on 2012-03-05 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinforcement learning encompasses both a science of adaptive behavior of rational beings in uncertain environments and a computational methodology for finding optimal behaviors for challenging problems in control, optimization and adaptive behavior of intelligent agents. As a field, reinforcement learning has progressed tremendously in the past decade. The main goal of this book is to present an up-to-date series of survey articles on the main contemporary sub-fields of reinforcement learning. This includes surveys on partially observable environments, hierarchical task decompositions, relational knowledge representation and predictive state representations. Furthermore, topics such as transfer, evolutionary methods and continuous spaces in reinforcement learning are surveyed. In addition, several chapters review reinforcement learning methods in robotics, in games, and in computational neuroscience. In total seventeen different subfields are presented by mostly young experts in those areas, and together they truly represent a state-of-the-art of current reinforcement learning research. Marco Wiering works at the artificial intelligence department of the University of Groningen in the Netherlands. He has published extensively on various reinforcement learning topics. Martijn van Otterlo works in the cognitive artificial intelligence group at the Radboud University Nijmegen in The Netherlands. He has mainly focused on expressive knowledge representation in reinforcement learning settings.

Universe Or Multiverse?

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Publisher : Cambridge University Press
ISBN 13 : 9780521848411
Total Pages : 544 pages
Book Rating : 4.8/5 (484 download)

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Book Synopsis Universe Or Multiverse? by : Bernard Carr

Download or read book Universe Or Multiverse? written by Bernard Carr and published by Cambridge University Press. This book was released on 2007-06-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists argue from different perspectives for and against the idea of the existence of multiple universes.

Holographic Duality in Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 1107080088
Total Pages : 587 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Holographic Duality in Condensed Matter Physics by : Jan Zaanen

Download or read book Holographic Duality in Condensed Matter Physics written by Jan Zaanen and published by Cambridge University Press. This book was released on 2015-11-05 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

Basic Concepts of String Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642294979
Total Pages : 787 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Basic Concepts of String Theory by : Ralph Blumenhagen

Download or read book Basic Concepts of String Theory written by Ralph Blumenhagen and published by Springer Science & Business Media. This book was released on 2012-10-03 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion. Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures. End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.

Classical and Quantum Cosmology

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Publisher : Springer
ISBN 13 : 3319411276
Total Pages : 854 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Classical and Quantum Cosmology by : Gianluca Calcagni

Download or read book Classical and Quantum Cosmology written by Gianluca Calcagni and published by Springer. This book was released on 2017-01-06 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.

Inflation and String Theory

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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.

The Shape of Inner Space

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Publisher : Il Saggiatore
ISBN 13 : 0465020232
Total Pages : 398 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Shape of Inner Space by : Shing-Tung Yau

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Quantum Gravity

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Publisher : Springer Science & Business Media
ISBN 13 : 3764379782
Total Pages : 343 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Quantum Gravity by : Bertfried Fauser

Download or read book Quantum Gravity written by Bertfried Fauser and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".

Physics Meets Philosophy at the Planck Scale

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Publisher : Cambridge University Press
ISBN 13 : 9780521664455
Total Pages : 380 pages
Book Rating : 4.6/5 (644 download)

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Book Synopsis Physics Meets Philosophy at the Planck Scale by : Craig Callender

Download or read book Physics Meets Philosophy at the Planck Scale written by Craig Callender and published by Cambridge University Press. This book was released on 2001-01-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.

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

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Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 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 482 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.