W symmetry

We see that the W - symmetry helps to understand a very deep algebro - geometric concept . This is yet another example of the impact that two - dimensional conformal field theory has had on modern mathematics in the last few years .

W symmetry

W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1993. Its main focus is the construction of W-algebras and their representation theory. A recurrent theme is the intimate connection between W-algebras and affine Lie algebras. Some of the applications, in particular W-gravity, are also covered.The significance of this reprint volume is that there are no textbooks entirely devoted to the subject.

More Books:

W-Symmetry
Language: en
Pages: 904
Authors: P Bouwknegt, K Schoutens
Categories: Science
Type: BOOK - Published: 1995-01-10 - Publisher: World Scientific

W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book
New Symmetry Principles in Quantum Field Theory
Language: en
Pages: 529
Authors: J. Frölich, Gerard 't Hooft, Arthur Jaffe, Gerhard Mack, Pronob K. Mitter, Raymond Stora
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable
Crystal Symmetries
Language: en
Pages: 321
Authors: B. K. Vainshtein, I. Hargittai
Categories: Science
Type: BOOK - Published: 2014-06-28 - Publisher: Elsevier

Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place
New Directions in Hadron Spectroscopy
Language: en
Pages: 406
Authors: S. L. Kramer, E. L. Berger
Categories: Hadron spectroscopy
Type: BOOK - Published: 1975 - Publisher:

Books about New Directions in Hadron Spectroscopy
Gravitation and Gauge Symmetries
Language: en
Pages: 522
Authors: M Blagojevic
Categories: Science
Type: BOOK - Published: 2001-10-25 - Publisher: CRC Press

In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can