Titlebook: Vertex Operators in Mathematics and Physics; Proceedings of a Con J. Lepowsky,S. Mandelstam,I. M. Singer Conference proceedings 1985 Spring

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Massive Kaluza-Klein Theories and Bound States in Yang-Mills the most fundamental use of symmetry transformations in quantum field theory is that the particle spectrum, the physical states of the system, usually form linear multiplets, i.e. carry a representation of the global invariance group.

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Local Charge Algebras in Quantum Chiral Models and Gauge Theoriesl is a particularly interesting case. If this model is extended by the addition of the Wess-Zumino term, then the quantum algebra of the local charge densities . becomes anomalous and has a central extension. This is the first example of a theory with such an anomaly. In 2 dimensions, the central ex

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Conference proceedings 1985the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which origi

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Introductionthe dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman.

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A Brief Introduction to the Finite Simple Groupsn detail. Accordingly, I will limit myself to a few items which might be of greatest interest to those who work on vertex operator theory. I hope that workers in vertex operator theory become familiar with the finite simple groups. My feeling is that more interaction between these two subjects is forthcoming.

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Supersymmetric Yang-Mills Fields as an Integrable System and Connections with Other Non-Linear Systeher, these equations of motion reduce to the ordinary Yang-Mills equations as the spinor and scalar fields are eliminated. Therefore, these understandings also provide a possible method to solve the full

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Standard Representations of Some Affine Lie Algebrast is indecomposable, symmetrizable, singular and every principal submatrix is of finite type. The infinite-dimensional Kac-Moody Lie algebras associated with the Euclidean generalized Cartan matrices are called .. These algebras are completely classified [5,20].