عنوان

Problems of Modern Quantum Field Theory :

(Number (ISBN

3540518339

(Number (ISBN

3642840000

(Number (ISBN

9783540518334

(Number (ISBN

9783642840005

Number

b574483

Title Proper

Problems of Modern Quantum Field Theory :

General Material Designation

[Book]

Other Title Information

Invited Lectures of the Spring School held in Alushta USSR, April 24 - May 5, 1989

First Statement of Responsibility

edited by Aleksandr A. Belavin, Anatolii U. Klimyk, Aleksandr B. Zamolodchikov.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1989

Specific Material Designation and Extent of Item

(x, 157 Seiten)

Series Title

Research Reports in Physics

Text of Note

This volume is the compilation of invited lectures presented at the Spring School "Problems of Modern Quantum Field Theory" held in Alushta (USSR) April 24-May 5 1989, organized by the Institute for Theoretical Physics (Kiev) and Landau Institute for Theoretical Physics (Moscow). Approximately one hundred physicists and mathematicians attended lectures on aspects of mod ern quantum field theory: Conformal Field Theory, Geometrical Quantization, Quantum Groups and Knizhnik-Zamolodchikov Equations, Non-Archimedian Strings, Calculations on Riemannian Surfaces. A number of experts active in research in these areas were present and they shared their ideas in both formal lectures and informal conversations. V. Drinfeld discusses the relation between quasi-Hopf algebras, conformal field theory, and knot invariants. The author sketches a new proof of Konno's theorem on the equivalence of the braid group representations corresponding to R-matrices and the Knizhnik-Zamolodchikov equation. The main ideas of quantum analogs of simple Lie superalgebras and their dual objects - algebras of functions on the quantum supergroup - are introduced in the paper by P.P. Kulish. He proposes the universal R-matrix for simplest superalgebra osp(2/1) and discusses the elements of a representation theory. In the paper by A. Alekseev and S. Shatashvili the correspondence between geometrical quantization and conformal field theory is established. It allows one to develop a Lagrange approach to two-dimensional conformal field theory. The authors also discuss the relation to finite R-matrices.

Text of Note

Quasi-Hopf Algebras and Knizhnik-Zamolodchikov Equations.- Quantum Lie Superalgebras and Supergroups.- From Geometric Quantization to Conformal Field Theory.- Bosonization of Wess-Zumino-Witten Models and Related Conformal Theories.- The Cutting and Sewing Method in String Theory.- P-Adic String World Sheets: Higher Genera.- Virasoro Action on Riemann Surfaces, Grassmannians, det

Condensed Matter Physics.

Elementary Particles, Quantum Field Theory.

Physics.

Class number

Book number

edited by Aleksandr A. Belavin, Anatolii U. Klimyk, Aleksandr B. Zamolodchikov.

Aleksandr A Belavin

Aleksandr B Zamolodchikov

Anatolii U Klimyk

Electronic name

[Book]

Y