Integrable Superstrings on the Squashed Three-sphere

Abstract

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.

19 pages

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Cited by in corpus (12)

• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• A deformation of quantum affine algebra in squashed WZNW models
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Local charges in involution and hierarchies in integrable sigma-models
• Affine q-deformed symmetry and the classical Yang-Baxter sigma-model
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• $O(d,d)$ transformations preserve classical integrability
• Yang-Baxter sigma models and Lax pairs arising from $\kappa$-Poincaré $r$-matrices
• Yang-Baxter deformations of Minkowski spacetime