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

Author(s)

Hollowood, Timothy J. ^[1] ; Miramontes, J. Luis ^{[2, 3]} ; Schmidtt, David M. ^{[4, 1]}

Affiliation

^[1] Swansea Univ, Dept Phys, Swansea SA2 8PP, W Glam - Wales

^[2] Univ Santiago Compostela, Dept Fis Particulas, E-15782 Santiago De Compostela - Spain

^[3] Univ Santiago Compostela, IGFAE, E-15782 Santiago De Compostela - Spain

^[4] Univ Estadual Paulista, IFT, BR-01140070 Sao Paulo - Brazil

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 47, n. 49 DEC 12 2014.
• Web of Science Citations: 81

Abstract

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. (AU)

• FAPESP's process: 13/23328-1 - Coherent states, supersymmetric localization and the Pohlmeyer reduction
• Grantee: Fernando David Marmolejo Schmidtt
• Support type: Scholarships abroad - Research Internship - Post-doctor