On Non-Abelian Duality in Sigma Models

Abstract

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry group is shown to be enlarged to a non-semi-simple group. However, upon eliminating the gauge fields to obtain the dual theory the new algebra does not close. Therefore the gauge fixing procedure becomes problematic. The new method proposed here avoids these issues and leads to a dual theory in the proper sense of duality.

8 pages, Latex file

References in corpus (8)

• Target Space Duality in String Theory
• Some Global Aspects of Duality is String Theory
• Duality and Dilaton
• On Nonabelian Duality
• Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
• A Problem with Non-Abelian Duality
• Gauged WZW models and Non-abelian duality
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Cited by in corpus (7)

• Gauging hidden symmetries in two dimensions
• Strings, Branes and Extra Dimensions
• Non-Abelian Duality for Open Strings
• Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups
• Non-Abelian T-duality for open strings
• Anti-field Formalism and Non-Abelian Duality
• A Novel Symmetry in Sigma Models