Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
Abstract
We construct a two-parameter deformation of the Metsaev-Tseytlin action for supercosets with isometry group of the form G x G. The resulting action is classically integrable and is Poisson-Lie symmetric suggesting that the symmetry of the model is q-deformed, U_q_L(G) x U_q_R(G). Focusing on the cases relevant for strings moving in AdS_3 x S^3 x T^4 and AdS_3 x S^3 x S^3 x S^1, we analyze the corresponding deformations of the AdS_3 and S^3 metrics. We also construct a two-parameter -deformation of the u(1) + psu(1|1)^2 x u(1) x R^3-invariant R-matrix and closure condition, which underlie the light-cone gauge S-matrix and dispersion relation of the aforementioned string theories. With the appropriate identification of parameters, the near-BMN limit of the dispersion relation is shown to agree with that found from the deformed supercoset sigma model.
Keywords
Cite
@article{arxiv.1411.1266,
title = {Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings},
author = {Ben Hoare},
journal= {arXiv preprint arXiv:1411.1266},
year = {2015}
}
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35 pages