2014/11/30 by Ben Hoare · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2014.12.012
35 pages
arxiv created 2014/12/16 · arxiv updated 2015/05/20
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, UqL(G) x UqR(G). Focusing on the cases relevant for strings moving in AdS3 x S3 x T4 and AdS3 x S3 x S3 x S1, we analyze the corresponding deformations of the AdS3 and S3 metrics. We also construct a two-parameter q-deformation of the u(1) + psu(1|1)2 x u(1) x R3-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.