Duality, quotients, and currents

Martin Roček; Erik Verlinde

doi:10.1016/0550-3213(92)90269-H

Duality, quotients, and currents

Martin Roček
, Erik Verlinde

Institute for Theoretical Physics

Institute for Advanced Studies

Research output: Contribution to journal › Article › peer-review

449 Scopus citations

Abstract

We study the generalization of R → 1/R duality to arbitrary conformally invariant σ-models with an isometry. We show that any pair of dual σ-models can be represented as quotients of a self-dual σ-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 σ-models.

Original language	English
Pages (from-to)	630-646
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	373
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90269-H
State	Published - Apr 13 1992

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title = "Duality, quotients, and currents",

abstract = "We study the generalization of R → 1/R duality to arbitrary conformally invariant σ-models with an isometry. We show that any pair of dual σ-models can be represented as quotients of a self-dual σ-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 σ-models.",

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AU - Roček, Martin

AU - Verlinde, Erik

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N2 - We study the generalization of R → 1/R duality to arbitrary conformally invariant σ-models with an isometry. We show that any pair of dual σ-models can be represented as quotients of a self-dual σ-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 σ-models.

AB - We study the generalization of R → 1/R duality to arbitrary conformally invariant σ-models with an isometry. We show that any pair of dual σ-models can be represented as quotients of a self-dual σ-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 σ-models.

UR - https://www.scopus.com/pages/publications/0000970527

U2 - 10.1016/0550-3213(92)90269-H

DO - 10.1016/0550-3213(92)90269-H

M3 - Article

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SN - 0550-3213

VL - 373

SP - 630

EP - 646

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Duality, quotients, and currents

Abstract

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