Topics in Two Dimensional Conformal Field Theory
Author | : Gavin Waterson |
Publisher | : |
Total Pages | : 318 |
Release | : 1987 |
Genre | : |
ISBN | : |
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Author | : Gavin Waterson |
Publisher | : |
Total Pages | : 318 |
Release | : 1987 |
Genre | : |
ISBN | : |
Author | : Yitzhak Frishman |
Publisher | : Cambridge University Press |
Total Pages | : 455 |
Release | : 2010-04-08 |
Genre | : Science |
ISBN | : 1139486489 |
Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.
Author | : Stephen-wei Chung |
Publisher | : |
Total Pages | : 334 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Chang-Yuan Ye |
Publisher | : |
Total Pages | : 130 |
Release | : 1990 |
Genre | : |
ISBN | : |
Author | : A.B. Zamolodchikov |
Publisher | : CRC Press |
Total Pages | : 180 |
Release | : 1989-01-31 |
Genre | : Science |
ISBN | : 9783718648634 |
Author | : Martin Schottenloher |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3540686258 |
The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
Author | : Martin Schottenloher |
Publisher | : Springer Science & Business Media |
Total Pages | : 153 |
Release | : 2008-09-15 |
Genre | : Science |
ISBN | : 3540706909 |
Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. Part II surveys more advanced topics of conformal field theory such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.
Author | : Yi-Zhi Huang |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461242762 |
The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories. Much of the recent progress has deep connec- tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this theory appeared to a mathematician as the representation theories of the Heisenberg, Vir as oro and affine Kac- Moody algebras and their superextensions. Quantization with the help of the Polyakov path integral led on the other hand to the analytic theory of algebraic (super ) curves and their moduli spaces, to invariants of the type of the analytic curvature, and so on.He pointed out further that establishing direct mathematical connections between these two forms of a single theory was a big and important problem. On the one hand, the theory of vertex operator algebras and their repre- sentations unifies (and considerably extends) the representation theories of the Heisenberg, Virasoro and Kac-Moody algebras and their superextensions.
Author | : Philippe Francesco |
Publisher | : Springer Science & Business Media |
Total Pages | : 908 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461222567 |
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Author | : Ulrike Luise Tillmann |
Publisher | : Cambridge University Press |
Total Pages | : 596 |
Release | : 2004-06-28 |
Genre | : Mathematics |
ISBN | : 9780521540490 |
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.