Titlebook: Quantum Mechanics of Fundamental Systems 2; Claudio Teitelboim,Jorge Zanelli Book 1989 Plenum Press, New York 1989 differential equation.f

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Algebras of the Virasoro, Neveu-Schwarz, and Ramond Types on Genus , Riemann Surfaces,was originally formulated in the complex plane, with the fact that in Polyakov string theory Riemann surfaces of arbitrary genus must be taken into account. Also, independently of any string interpretation, it is interesting to know the features of a conformal field theory on a Riemann surface of ge

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Small Handles and Auxiliary Fields,. = 1 supersymmetric field theories admit a superspace formulation that easily reveals consequences of supersymmetry for these theories, such as nonrenormalization theorems. The existence of auxiliary fields is crucial to this formulation. It would be useful to introduce such space-time auxiliary fi

LAITY

Differential Equations in Moduli Space, its fields are dictated by the representation theory of Virasoro algebra [1, 2]. Furthermore, irreducibility of a representation, decoupling of null states, leads to differential equations for correlation functions [1]. These equations have been used to determine operator-product expansion coeffici

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Field and String Quantization in Curved Space-Times,e best candidates to achieve such a unification. However, many technical and conceptual problems remain . a quantum theory of gravity is still not available. Continuous effort over the last quarter of a century has demonstrated the many difficulties encountered in repeated attempts to construct such

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Thirring Strings: Use of Generalized Nonabelian Bosonization Techniques,hnical difficulties in the description of string dynamics, and, perhaps, one of the most relevant aspects to be fully understood is compactification. It is my aim to relate the string defined on a compactified space time to a fermionic model in such a way that, in the latter, complicated and importa