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arXiv · 1208.3680

Integrable Superstrings on the Squashed Three-sphere

Domenico Orlando·Linda I. Uruchurtu
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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.

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Domenico Orlando, Linda I. Uruchurtu. 2012-08-17. Integrable Superstrings on the Squashed Three-sphere. https://doi.org/10.1007/jhep10(2012)007

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