Physics and mathematics of strings / editors, L. Brink, D. Friedan, A.M. Polyakov.

"Memorial volume for Vadim Knizhnik."

Includes bibliographical references.

Gauge transformations and diffeomorphisms / A.M. Polyakov -- Topics in conformal field theory / L. Alvarez- Gaumé, G. Sierra and C. Gomez -- Representations of Uq(g I (n, C)) at q = 0 and the Robinson-Shensted correspondence / E. Date, M. Jimbo and T. Miwa -- The sewing technique and correlation functions on arbitrary Riemann surfaces / P. Di Vecchia -- Supergrassmannians, super t-functions and strings / S.N. Dolgikh and A.S. Schwarz -- Conformal field theory and purely elastic S-matrices / V.A. Fateev and A.B. Zamolodchikov -- Representations of affine Kac-Moody algebras and bosonization / B.L. Feigin and E.V. Frenkel -- Two-dimensional conformal transformations represented by quantum fields in Minkowski space-time / R. Jackiw -- Riemann surfaces, operator fields, strings. Analogues of the Fourier-Laurent bases / I.M. Krichever and S.P. Novikov -- Criticality, catastrophes, and compactifications / E.J. Martinec -- On the explicit construction of the superstring loop measure in the super-Schottky-Reggeon formalism / J.L. Petersen -- Supersymmetric superstring compactification / J.H. Schwarz -- Physics with a fundamental length / G. Veneziano -- The central charge in three dimensions / E. Witten -- Covariant formulations of the superparticle and the superstring / L. Brink -- The space of conformal field theories and the space of classical string ground states / D. Friedan.

Vadim Knizhnik was one of the most promising theoretical physicists in the world. Unfortunately, he passed away at the very young age of 25 years. This memorial volume is to honour his contributions in theoretical physics. This is perhaps one of the most important collections of articles on the theoretical developments in string theory, conformal field theory and related topics. It consists of contributions from world-renowned physicists who have met Vadim Knizhnik personally and whom the late Knizhnik really respected. The contributions are systematic and pedagogical in format.

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