Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets

Details Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets

2004-05-24

arxiv.org/abs/hep-th/0405213v2

Fortsch.Phys. 53 (2005) 73-104

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, Added References. Aesthetic retouchings

Scientific paper

10.1002/prop.200410190

We analyze asymmetric marginal deformations of SU(2)_k and SL(2,R)_k WZW models. These appear in heterotic string backgrounds with non-vanishing Neveu--Schwarz three-forms plus electric or magnetic fields, depending on whether the deformation is elliptic, hyperbolic or parabolic. Asymmetric deformations create new families of exact string vacua. The geometries which are generated in this way, deformed S^3 or AdS_3, include in particular geometric cosets such as S^2, AdS_2 or H_2. Hence, the latter are consistent, exact conformal sigma models, with electric or magnetic backgrounds. We discuss various geometric and symmetry properties of the deformations at hand as well as their spectra and partition functions, with special attention to the supersymmetric AdS_2 x S^2 background. We also comment on potential holographic applications.

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