S-matrices and quantum group symmetry of k-deformed sigma models
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Data
2016-10-21
Autores
Hollowood, Timothy J.
Miramontes, J. Luis
Schmidtt, David M. [UNESP]
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Resumo
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 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.
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AdS/CFT, integrable deformations, integrable field theory, quantum groups, string theory
Como citar
Journal of Physics A: Mathematical and Theoretical, v. 49, n. 46, 2016.