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

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.