Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations write by Pavel I. Etingof. This book was released on 1998. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations available in PDF, EPUB and Kindle. This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.
Special Functions, KZ Type Equations, and Representation Theory
Special Functions, KZ Type Equations, and Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Functions, KZ Type Equations, and Representation Theory write by Aleksandr Nikolaevich Varchenko. This book was released on 2003. Special Functions, KZ Type Equations, and Representation Theory available in PDF, EPUB and Kindle. The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its sqs-deformations. In the book, the author discusses the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multi-dimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. It contains constructions, discussions of notions, statements of main results, and illustrative examples. The exposition is restricted to the simplest case of the theory associated with the Lie algebra s\mathfrak{sl 2s. This book is intended for researchers and graduate students in mathematics and in mathematical physics, in particular to those interested in applications of special functions.
Problems of Modern Quantum Field Theory
Problems of Modern Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems of Modern Quantum Field Theory write by Aleksandr A. Belavin. This book was released on 2012-12-06. Problems of Modern Quantum Field Theory available in PDF, EPUB and Kindle. This volume contains the invited lectures of a school on modern quantum field theory held at Alushta, USSR, in May 1989. The development of this subject, including string theories attempting to model elementary particles, is closely interwoven with modern mathematical physics. The lectures presented by experts in the field provide an overview of the research pursued in different branches of this rapidly evolving field and draw attention to particular interconnections and problems. Topics covered include: geometrical quantization and finite size effects in conformal field theory; quasi-Hopf, Kac-Moody current and Lie super-algebras; quantum groups; Wess-Zumino-Witten models; Nizhnik-Zamolodchikov equations; non-archimedian strings; string dynamics; KdV and KP (super) equations and calculations on (super-) riemannian surfaces; 2d Ising model and 2d electron motion on surfaces in external magnetic fields.
Topology, Geometry and Quantum Field Theory
Topology, Geometry and Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology, Geometry and Quantum Field Theory write by Ulrike Luise Tillmann. This book was released on 2004-06-28. Topology, Geometry and Quantum Field Theory available in PDF, EPUB and Kindle. The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.
Infinite Dimensional Algebras and Quantum Integrable Systems
Infinite Dimensional Algebras and Quantum Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Algebras and Quantum Integrable Systems write by Petr P. Kulish. This book was released on 2006-01-17. Infinite Dimensional Algebras and Quantum Integrable Systems available in PDF, EPUB and Kindle. This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In it, recent developments in the theory of infinite dimensional algebras, and their applications to quantum integrable systems, are reviewed by leading experts in the field.
