An Integrable Deformation of the AdS5 x S5 Superstring

Abstract

The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a particular deformation of the Green-Schwarz sigma model. An interpretation of the case with q a root of unity has, until now, been lacking. We show that the Green-Schwarz sigma model admits a discrete deformation which can be viewed as a rather simple deformation of the F/F_V gauged WZW model, where F=PSU(2,2|4). The deformation parameter q is then a k-th root of unity where k is the level. The deformed theory has the same equations-of-motion as the Green-Schwarz sigma model but has a different symplectic structure. We show that the resulting theory is integrable and has just the right amount of kappa-symmetries that appear as a remnant of the fermionic part of the original gauge symmetry. This points to the existence of a fully consistent deformed string background.

23 pages, improved and expanded discussion of metric and B field

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Cited by in corpus (23)

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• Abelian Yang-Baxter Deformations and TsT transformations
• Yang-Baxter sigma models based on the CYBE
• Spacetimes for λ-deformations
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Double Wick rotating Green-Schwarz strings
• $T$-folds from Yang-Baxter deformations
• Integrable flows between exact CFTs
• Yang-Baxter $\sigma$-model with WZNW term as $\mathcal{E}$-model
• General phase spaces: from discrete variables to rotor and continuum limits
• Generalized $\lambda$-deformations of AdS_p x S^p
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Integrability of the eta-deformed Neumann-Rosochatius model
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Strong integrability of $\lambda$-deformed models
• Exploring The Lambda Model Of The Hybrid Superstring
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Field theory and $\lambda$-deformations: Expanding around the identity
• Integrable $\lambda$-deformations of the Euclidean black string
• Asymptotics in an Asymptotic CFT
• The many facets of exceptional field theory