On Non-Abelian Duality in Sigma Models

Details On Non-Abelian Duality in Sigma Models On Non-Abelian Duality in Sigma Models

1995-12-18

arxiv.org/abs/hep-th/9512126v1

Phys.Lett. B375 (1996) 149-153

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex file

Scientific paper

10.1016/0370-2693(96)00194-3

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.

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