Problems of Modern Quantum Field Theory
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Problems of Modern Quantum Field Theory: Invited Lectures of the Spring School held in Alushta USSR, April 24 – May 5, 1989

Problems of Modern Quantum Field Theory: Invited Lectures of the Spring School held in Alushta USSR, April 24 – May 5, 1989

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About the Book

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.

Table of Contents:
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 $${\bar \partial _J}$$ and Segal-Wilson ?-Function.- On the Superextension of the Kadomtsev-Petviashvili Equation and Finite-Gap Solutions of Korteweg-de Vries Superequations.- Finite Size Effects in Conformal Field Theories and Non-local Operators in One-Dimensional Quantum Systems.- The Solution of the Two-Dimensional Ising Model with Magnetic Fields Applied to the Boundaries.- On the Relativistic Field Theories with Fractional Statistics and Spin in D=(2+1), (3+1).- Electron on a Surface in an External Magnetic Field: Hidden Supersymmetry, Zero Modes and Boundary Conditions.- Index of Contributors.


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Product Details
  • ISBN-13: 9783540518334
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 242 mm
  • No of Pages: 157
  • Returnable: Y
  • Width: 170 mm
  • ISBN-10: 3540518339
  • Publisher Date: 11 Jan 1990
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: Invited Lectures of the Spring School held in Alushta USSR, April 24 – May 5, 1989

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