Duality, Quotients, and Currents

Abstract

We study the generalization of $R\to 1/R$ duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging different combinations of chiral currents. This observation is used to clarify the interpretation of the generalized duality as a symmetry of conformal field theory. We extend these results to $N=2$ supersymmetric sigma models.

20 pages

References in corpus (1)

• Duality and Dilaton

Cited by in corpus (386)

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• T-duality on Almost Hermitian Spaces
• Double space T-dualization and coordinate dependent RR
• Surveying the Three-Dimensional Fixed Points of T-Duality
• Strings as sigma models and in the tensionless limit
• SO(3) \times U(1) isometric instantons with non abelian hair in four dimensional string theory
• Effective theories of two T-dual theories are also T-dual
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• On the Eleventh Dimension of String Theory
• Global Space-time Symmetries Gauging and Kaluza-Klein Dimensional Reduction
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• Free Lunch from T-Duality
• New Reflections on Gravitational Duality