Title | Vertex Operators in Mathematics and Physics [electronic resource] : Proceedings of a Conference November 10-17, 1983 / edited by J. Lepowsky, S. Mandelstam, I. M. Singer |
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Imprint | New York, NY : Springer US, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9550-8 |
Descript | XIV, 482 p. online resource |
String models -- to string models and vertex operators -- An introduction to Polyakovโs 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