Integrable Superstrings on the Squashed Three-sphere

Domenico Orlando; Linda I. Uruchurtu

Integrable Superstrings on the Squashed Three-sphere

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arxiv 1208.3680 v1 pith:AX7YXOCB submitted 2012-08-17 hep-th

Domenico Orlando , Linda I. Uruchurtu This is my paper · ORCID

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keywords integrableads3correspondingcurrentssquashedthree-spheretimesaction

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In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.

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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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