Vertex Operators in Mathematics and Physics: Proceedings of a Conference November 10-17, 1983 - Softcover

Inhaltsangabe

String models.- to string models and vertex operators.- An introduction to Polyakov's string model.- Conformally invariant field theories in two dimensions.- Lie algebra representations.- Algebras, lattices and strings.- L-algebras and the Rogers-Ramanujan identities.- Structure of the standard modules for the affine Lie algebra A1(1) in the homogeneous picture.- Standard representations of some affine Lie algebras.- Some applications of vertex operators to Kac-Moody algebras.- On a duality of branching coefficients.- The Monster.- A brief introduction to the finite simple groups.- A Moonshine Module for the Monster.- Integrable systems.- Monodromy, solitons and infinite dimensional Lie algebras.- The Riemann-Hilbert decomposition and the KP hierarchy.- Supersymmetric Yang-Mills fields as an integrable system and connections with other non-linear systems.- Lax pairs, Riemann-Hilbert transforms and affine algebras for hidden symmetries in certain nonlinear field theories.- Massive Kaluza-Klein theories and bound states in Yang-Mills.- Local charge algebras in quantum chiral models and gauge theories.- Supergeometry and Kac-Moody algebras.- The Virasoro algebra.- A proof of the no-ghost theorem using the Kac determinant.- Conformal invariance, unitarity and two dimensional critical exponents.- Vacuum vector representations of the Virasoro algebra.- Classical invariant theory and the Virasoro algebra.

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