An integrable deformation of the AdS(5) x S-5 superstring

作者：Hollowood Timothy J^*; Miramontes J Luis; Schmidtt David M

来源：Journal of Physics A-Mathematical and Theoretical, 2014, 47(49): 495402.

DOI：10.1088/1751-8113/47/49/495402

• string theory
• AdS/CFT
• integrability

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.

• 出版日期2014-12-12
• 单位Univ Estadual Paulista