Strings And Symmetries 1991

Strings And Symmetries 1991 PDF Author: Hiroshi Itoyama
Publisher: #N/A
ISBN: 9814555851
Category :
Languages : en
Pages : 618

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Book Description
This is a collection of important papers presented by an international group of outstanding scientists at a seminar on strings and symmetries held in Stony Brook. This volume contains reviews on modern string theory and particle physics, including supersymmetric quantization, supergravity, conformal field theory, topological field theory, string phenomenology, matrix models, and W gravity. This proceedings is both an excellent introduction as well as reference source for researchers.

Strings And Symmetries 1991

Strings And Symmetries 1991 PDF Author: Hiroshi Itoyama
Publisher: #N/A
ISBN: 9814555851
Category :
Languages : en
Pages : 618

Get Book Here

Book Description
This is a collection of important papers presented by an international group of outstanding scientists at a seminar on strings and symmetries held in Stony Brook. This volume contains reviews on modern string theory and particle physics, including supersymmetric quantization, supergravity, conformal field theory, topological field theory, string phenomenology, matrix models, and W gravity. This proceedings is both an excellent introduction as well as reference source for researchers.

Introduction to Strings and Branes

Introduction to Strings and Branes PDF Author: Peter West
Publisher: Cambridge University Press
ISBN: 0521817471
Category : Science
Languages : en
Pages : 723

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Book Description
Detailed, step-by-step introduction to the theoretical foundations of strings and branes, essential reading for graduate students and researchers.

Strings and Symmetries

Strings and Symmetries PDF Author: Gülen Aktas
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 416

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Book Description
The topics in this volume constitute a fitting tribute by distinguished physicists and mathematicians. They cover strings, conformal field theories, W and Virasoro algebras, topological field theory, quantum groups, vertex and Hopf algebras, and non-commutative geometry. The relatively long contributions are pedagogical in style and address students as well as scientists.

Tensor Categories

Tensor Categories PDF Author: Pavel Etingof
Publisher: American Mathematical Soc.
ISBN: 1470434415
Category : Mathematics
Languages : en
Pages : 362

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Book Description
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Symmetries of Maldacena-Wilson Loops from Integrable String Theory

Symmetries of Maldacena-Wilson Loops from Integrable String Theory PDF Author: Hagen Münkler
Publisher: Springer
ISBN: 3030036057
Category : Science
Languages : en
Pages : 219

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Book Description
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.

Quarks, Symmetries And Strings - A Symposium In Honor Of Bunji Sakita's 60th Birthday

Quarks, Symmetries And Strings - A Symposium In Honor Of Bunji Sakita's 60th Birthday PDF Author: Michio Kaku
Publisher: World Scientific
ISBN: 9814569283
Category :
Languages : en
Pages : 436

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Book Description
Quarks, Symmetries and Strings is a book that reflects the rich diversity of current research in physics: it describes quantum chromodynamics, quark phenomenology, superstring theory, supersymmetry, matrix models, statistical methods, superconductivity and neural networks. The book also reflects the diversity of Dr Bunji Sakita's scientific work. Dr Sakita has made seminal contributions in many of these areas. The book celebrates the many path-breaking ideas he pioneered which still cross-fertilize many of the most active areas of current research.

Strings and Geometry

Strings and Geometry PDF Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 9780821837153
Category : Mathematics
Languages : en
Pages : 396

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Book Description
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.

String Theory and M-Theory

String Theory and M-Theory PDF Author: Katrin Becker
Publisher: Cambridge University Press
ISBN: 9780521860697
Category : Science
Languages : en
Pages : 756

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Book Description
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.

Introduction to Superstring Theory

Introduction to Superstring Theory PDF Author: Elias Kiritsis
Publisher: Cornell University Press
ISBN: 9789061868941
Category : Mathematics
Languages : en
Pages : 0

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Book Description
String Theory, now almost 30 years of age, was partly forgotten but came back to the forefront of theoretical particle physics in 1984. In this book, based on lectures by the author at the K.U.Leuven and at the University of Padova, Elias Kiritsis takes the reader through the developments of the last 15 years: conformal field theory, the various superstrings and their spectra, compactifications, and the effective description of low energy degrees of freedom. It ends by showing a glimpse of the most recent developments, dualities of strings and higher dimensional objects, that influence both traditional field theory and present day mathematics. Readership: Theoretical physicists, and mathematicians with an interest in modern string theory. 1. Introduction 2. Historical perspective 3. Classical string theory 3.1. The point particle 3.2. Relativistic strings 3.3. Oscillator expansions 4. Quantization of the bosonic string 4.1. Covariant canonical quantization 4.2. Light-cone quantization 4.3. Spectrum of the bosonic string 4.4. Path integral quantization 4.5. Topologically non-trivial world-sheets 4.6. BRST primer 4.7. BRST in string theory and the physical spectrum 4.8. Interactions and loop amplitudes 5. Conformal field theory 5.1. Conformal transformations 5.2. Conformally invariant field theory 5.3. Radial quantization 5.4. Example: the free boson 5.5. The central charge 5.6. The free fermion 5.7. Mode expansions 5.8. The Hilbert space 5.9. Representations of the conformal algebra 5.10. Affine algebras 5.11. Free fermions and O(N) affine symmetry 5.12. N=1 superconformal symmetry 5.13. N=2 superconformal symmetry 5.14. N=4 superconformal symmetry 5.15. The CFT of ghosts 6. CFT on the torus 6.1. Compact scalars 6.2. Enhanced symmetry and the string Higgs effect 6.3. T-duality 6.4. Free fermions on the torus 6.5. Bosonization 6.6. Orbifolds 6.7. CFT on higher-genus Riemann surfaces 7. Scattering amplitudes and vertex operators of bosonic strings 8. Strings in background fields and low-energy effective actions 9. Superstrings and supersymmetry 9.1. Closed (type-II) superstrings 9.2. Massless R-R states 9.3. Type-I superstrings 9.4. Heterotic superstrings 9.5. Superstring vertex operators 9.6. Supersymmetric effective actions 10. Anomalies 11. Compactification and supersymmetry breaking 11.1. Toroidal compactifications 11.2. Compactification on non-trivial manifolds 11.3. World-sheet versus spacetime supersymmetry 11.4. Heterotic orbifold compactifications with N=2 supersymmetry 11.5. Spontaneous supersymmetry breaking 11.6. Heterotic N=1 theories and chirality in four dimensions 11.7. Orbifold compactifications of the type-II string 12. Loop corrections to effective couplings in string theory 12.1. Calculation of gauge thresholds 12.2. On-shell infrared regularization 12.3. Gravitational thresholds 12.4. Anomalous U(1)?s 12.5. N=1,2 examples of thresholds corrections 12.6. N=2 universality of thresholds 12.7. Unification 13. Non-perturbative string dualities: a foreword 13.1. Antisymmetric tensors and p-branes 13.2. BPS states and bounds 13.3. Heterotic/type-I duality in ten dimensions 13.4. Type-IIA versus M-theory 13.5. M-theory and the E8xE8 heterotic string 13.6. Self-duality of the type-IIB string 13.7. D-branes are the type-II R-R charged states 13.8. D-brane actions 13.9. Heterotic/type-II duality in six and four dimensions 14. Outlook Appendices A. Theta functions B. Toroidal lattice sums C. Toroidal Kaluza-Klein reduction D. N=1,2,4, D=4 supergravity coupled to matter E. BPS Multiplets and helicity supertrace formulae F. Modular forms G. Helicity string partition functions H. Electric-Magnetic duality in D=4 References ISBN10:9061868947 Imprint:Leuven University Press Language: English NUR * 925 Theoretische natuurkunde * Number of pages: v-316 * Width: 16 cm * Height: 24 cm * Elias Kiritsis, Author (all publications from this author/editor with Leuven University Press)

Introduction to Strings and Branes

Introduction to Strings and Branes PDF Author: Peter West
Publisher: Cambridge University Press
ISBN: 1107393876
Category : Science
Languages : en
Pages : 723

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Book Description
Supersymmetry, strings and branes are believed to be the essential ingredients in a single unified consistent theory of physics. This book gives a detailed, step-by-step introduction to the theoretical foundations required for research in strings and branes. After a study of the different formulations of the bosonic and supersymmetric point particles, the classical and quantum bosonic and supersymmetric string theories are presented. This book includes accounts of brane dynamics and D-branes and the T, S and U duality symmetries of string theory. The historical derivation of string theory is given as well as the sum over the world-sheet approach to the interacting string. More advanced topics include string field theory and Kac–Moody symmetries. The book contains pedagogical accounts of conformal quantum field theory, supergravity theories, Clifford algebras and spinors, and Lie algebras. It is essential reading for graduate students and researchers wanting to learn strings and branes.