An integrable deformation of the AdS(5) x S-5 superstring
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Data
2014-12-12
Autores
Hollowood, Timothy J.
Miramontes, J. Luis
Schmidtt, David M. [UNESP]
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Editor
Iop Publishing Ltd
Resumo
The S-matrix on the world-sheet theory of the string in AdS(5) x 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 vertical bar 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.
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string theory, AdS/CFT, integrability
Como citar
Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 47, n. 49, 18 p., 2014.