*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 .*

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Language: en

Pages: 904

Pages: 904

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

Language: en

Pages: 529

Pages: 529

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

Language: en

Pages: 321

Pages: 321

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

Language: en

Pages: 406

Pages: 406

Books about New Directions in Hadron Spectroscopy

Language: en

Pages: 522

Pages: 522

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