Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups

Details Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups

1997-09-09

arxiv.org/abs/hep-th/9709071v1

Phys.Lett. B414 (1997) 104-110

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex file, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)01136-2

Non-Abelian duality transformations built on non-semi-simple isometry groups are analysed. We first give the conditions under which the original non-linear sigma model and its non-Abelian dual are equivalent. The existence of an invariant and non-degenerate bilinear form for the isometry Lie algebra is crucial for this equivalence. The non-Abelian dual of a conformally invariant sigma model, with non-semi-simple isometries, is then constructed and its beta functions are shown to vanish. This study resolves an apparent obstruction to the conformal invariance of sigma models obtained via non-Abelian duality based on non-semi-simple groups.

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