An integrable deformation of the AdS5 × S5 superstring

By T. Hollowood, J. Miramontes, David M. Schmidtt. 2014

204 citations recorded by the source corpus.

The S-matrix on the world-sheet theory of the string in AdS 5 × S 5 ?> 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 kth 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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/179750900bb9d28acdad02e362f97f5a3a08122c

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In Nuclear and High Energy Physics

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. S. J. Tongeren
5. R. Roiban
6. N. Beisert
7. David Osten
8. M. Staudacher

In Statistical and Nonlinear Physics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. R. Roiban
5. S. J. Tongeren
6. David Osten
7. B. Hoare
8. C. Klimčík

Citations in the corpus

• Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations (2015, methodology): “This might be possible in view of the existence of the λ-model [24] which is classically related to the η-model by the Poisson–Lie duality combined with an analytic continuation of the deformation parameter, and for which there is a candidate supergravity solution [25] (i.”
• Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel’d doubles (2015, unknown): “Gauged WZW type deformations were recently generalised to all symmetric space σ-models [18] and to semi-symmetric space σ-models in the case of the AdS5 × S5 superstring [19].”
• On integrable deformations of superstring sigma models related to AdSn×Sn supercosets (2015, methodology): “6) at the level of classical Hamiltonian (Poisson-bracket) structures [1, 5, 6], establishing their correspondence at the level of the actions (and thus eventually at the quantum level) remains an open problem that we will attempt to address below.”
• η and λ deformations as E-models (2015, background): “nly on the integrable deformation of the WZW model proposed in [37]. It is now called the ”λ-deformation” and, similarly as in the ηcase, it was later generalized to the integrable supercoset targets [15]. Three papers [41], [17] and [38] have recently discussed the issue of possible structural rela”
• Abelian Yang–Baxter deformations and TsT transformations (2016, background): “1 These models are related to another type of integrable deformation known as the λ model [12, 13, 14] by analytic continuation and Poisson-Lie duality [15, 16, 17, 18, 19, 20], see also [21].”