English

Integrable Superstrings on the Squashed Three-sphere

High Energy Physics - Theory 2015-06-11 v1

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.

Cite

@article{arxiv.1208.3680,
  title  = {Integrable Superstrings on the Squashed Three-sphere},
  author = {Domenico Orlando and Linda I. Uruchurtu},
  journal= {arXiv preprint arXiv:1208.3680},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-21T21:52:20.263Z