## Abstract

We study the deformed AdS _{5} × S ^{5} supercoset model of arXiv:1309.5850 which depends on one parameter κ and has classical quantum group symmetry. We confirm the conjecture that in the "maximal" deformation limit, κ → ∞, this model is T-dual to "flipped" double Wick rotation of the target space AdS _{5} × S ^{5}, i.e. dS _{5} × H ^{5} space supported by an imaginary 5-form flux. In the imaginary deformation limit, κ → i, the corresponding target space metric is of a pp-wave type and thus the resulting light-cone gauge S-matrix becomes relativistically invariant. Omitting non-unitary contributions of imaginary WZ terms, we find that this tree-level S-matrix is equivalent to that of the generalized sine-Gordon model representing the Pohlmeyer reduction of the undeformed AdS _{5} × S ^{5} superstring model. We also study in some detail similar deformations of the AdS _{3} × S ^{3} and AdS _{2} × S ^{2} supercosets. The bosonic part of the deformed AdS _{3} × S ^{3} model happens to be equivalent to the symmetric case of the sum of the Fateev integrable deformation of the SL(2) and SU(2) principal chiral models, while in the AdS _{2} × S ^{2} case the role of the Fateev model is played by the 2d "sausage" model. The κ = i limits are again directly related to the Pohlmeyer reductions of the corresponding AdS _{n} × S ^{n} supercosets: (2,2) super sine-Gordon model and its complex sine-Gordon analog. We also discuss possible deformations of AdS _{3} × S ^{3} with more than one parameter.

Original language | English (US) |
---|---|

Article number | 2 |

Journal | Journal of High Energy Physics |

Volume | 2014 |

Issue number | 6 |

DOIs | |

State | Published - Jun 2014 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics