2014/09/24 by Timothy J. Hollowood, J. Luis Miramontes, David M. Schmidtt · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1751-8113/47/49/495402
23 pages, improved and expanded discussion of metric and B field
arxiv created 2014/09/24 · arxiv updated 2015/06/22
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/FV 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.