Generalized $\lambda$-deformations of AdS_p x S^p

Abstract

We study analytical properties of the generalized $\lambda$-deformation, which modifies string theories while preserving integrability, and construct the explicit backgrounds corresponding to AdS_p x S^p, including the Ramond-Ramond fluxes. For an arbitrary coset, we find the general form of the R-matrix underlying the deformation, and prove that the dilaton is not modified by the deformation, while the frames are multiplied by a constant matrix. Our explicit solutions describe families of integrable string theories depending on several continuous parameters.

36 pages, V2: references added, appendix extended

References in corpus (6)

• An Integrable Deformation of the AdS5 x S5 Superstring
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Yang-Baxter sigma models based on the CYBE
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

Cited by in corpus (5)

• $T$-folds from Yang-Baxter deformations
• Integrable flows between exact CFTs
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Stringy correlations on deformed $Ad{S}_3\times S^3$