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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

S-matrices and quantum group symmetry of k-deformed sigma models

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Hollowood, Timothy J. ; Luis Miramontes, J. ; Schmidtt, David M.
Total Authors: 3
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 49, n. 46 NOV 18 2016.
Web of Science Citations: 11

Recently, two kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed (Delduc et al 2014 Phys. Rev. Lett. 112 051601; Hollowood et al 2014 J. Phys. A: Math. Theor. 47 495402). One class of these, the k deformations associated to the more general q deformations but with q = e(i pi/k) a root of unity, has been shown to be related to a particular discrete deformation of the principal chiral models and (semi-) symmetric space sigma models involving a gauged WZW model. We conjecture a form for the exact S-matrices of the bosonic integrable field theories of this type. The S-matrices imply that the theories have a hidden infinite dimensional affine quantum group symmetry. We provide some evidence, via quantum inverse scattering techniques, that the theories do indeed possess the finite-dimensional part of this quantum group symmetry. (AU)

FAPESP's process: 12/09180-9 - D-branes and q-deformed 2D SUSY in Pohlmeyer-Reduced Superstring Sigma Models.
Grantee:Fernando David Marmolejo Schmidtt
Support Opportunities: Scholarships in Brazil - Post-Doctorate