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Towards a twoparameter qdeformation of AdS3 x S3 x M4 superstrings
"... We construct a twoparameter deformation of the MetsaevTseytlin action for supercosets with isometry group of the form Ĝ×Ĝ. The resulting action is classically integrable and is PoissonLie symmetric suggesting that the symmetry of the model is qdeformed, Uq L (Ĝ) × Uq R (Ĝ). Focusing on the ..."
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We construct a twoparameter deformation of the MetsaevTseytlin action for supercosets with isometry group of the form Ĝ×Ĝ. The resulting action is classically integrable and is PoissonLie symmetric suggesting that the symmetry of the model is qdeformed, Uq L (Ĝ) × Uq R (Ĝ). Focusing on the cases relevant for strings moving in AdS3×S3×T 4 and AdS3×S3×S3×S1, we analyze the corresponding deformations of the AdS3 and S 3 metrics. We also construct a twoparameter qdeformation of the u(1) A psu(11)2 n u(1)n R3invariant Rmatrix and closure condition, which underlie the lightcone gauge Smatrix and dispersion relation of the aforementioned string theories. With the appropriate identification of parameters, the nearBMN limit of the dispersion relation is shown to agree with that found from the deformed supercoset sigma model. ar X iv
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, 1303
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Copyright & reuse City University London has developed City Research Online so that its users may access the research outputs of City University London's staff. Copyright © and Moral Rights for this paper are retained by the individual author(s) and / or other copyright holders. All material in City Research Online is checked for eligibility for copyright before being made available in the live archive. URLs from City Research Online may be freely distributed and linked to from other web pages. Versions of research The version in City Research Online may differ from the final published version. Users are advised to check the Permanent City Research Online URL above for the status of the paper. Enquiries If you have any enquiries about any aspect of City Research Online, or if you wish to make contact with the author(s) of this paper, please email the team at publications@city.ac.uk.ITPUU13/08 SPIN13/05
Scattering in AdS2/CFT1 and the BES Phase
, 2013
"... We study worldsheet scattering for the type IIA superstring in AdS2×S2×T 6. Using the Green–Schwarz action to quartic order in fermions we take the nearBMN limit, where as in the AdS3/CFT2 case there are both massive and massless excitations. For the massive excitations we compute all possible tree ..."
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We study worldsheet scattering for the type IIA superstring in AdS2×S2×T 6. Using the Green–Schwarz action to quartic order in fermions we take the nearBMN limit, where as in the AdS3/CFT2 case there are both massive and massless excitations. For the massive excitations we compute all possible treelevel processes, and show that these agree with a truncated version of the exact AdS5 × S5 Smatrix. We also compute several Smatrix elements involving massless excitations. At one loop we find that the dressing phase is the same Hernández–López phase appearing in AdS5/CFT4. We see the same phase when calculating this by semiclassical means using the PSU(1, 12)/U(1)2 coset sigma model, for which we can also study the scattering of fermions. This supports the conjecture that the allloop dressing phase is again the BES phase, rather than a new phase like that seen in AdS3/CFT2. 1