High spin limits and non-abelian T-duality

Details High spin limits and non-abelian T-duality High spin limits and non-abelian T-duality

2010-08-23

arxiv.org/abs/1008.3909v2

Nucl.Phys.B843:344-361,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; V2: NPB version, minor clarification

Scientific paper

10.1016/j.nuclphysb.2010.09.006

The action of the non-abelian T-dual of the WZW model is related to an appropriate gauged WZW action via a limiting procedure. We extend this type of equivalence to general sigma-models with non-abelian isometries and their non-abelian T-duals, focusing on Principal Chiral models. We reinforce and refine this equivalence by arguing that the non-abelian T-duals are the effective backgrounds describing states of an appropriate parent theory corresponding to divergently large highest weight representations. The proof involves carrying out a subtle limiting procedure in the group representations and relating them to appropriate limits in the corresponding backgrounds. We illustrate the general method by providing several non-trivial examples.

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