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

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arxiv hep-th/0405213 v2 pith:URI5DSKT submitted 2004-05-24 hep-th

classification hep-th
keywords deformationselectricgeometricmagneticasymmetricbackgroundscosetsexact
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Interpolating families of integrable AdS3 backgrounds

    hep-th 2025-02 accept novelty 7.0 of 10

    New TsT-based integrable deformations interpolate between AdS3×S3×S3×S1 and AdS3×S3×S2×T2 or AdS3×S2×S2×T3 while preserving half the supersymmetry.

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