S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
Jun 22, 2015
25 pages
Published in:
- J.Phys.A 49 (2016) 46, 465201
- Published: Oct 21, 2016
e-Print:
- 1506.06601 [hep-th]
View in:
Citations per year
Abstract: (IOP)
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.Note:
- 32 pages, added reference, changed nomenclature from q deformed to k deformed to distinguish from eta deformation
- deformation: discrete
- field theory: integrability
- model: chiral
- quantum group
- S-matrix
- sigma model
- Wess-Zumino-Witten model
- gravitation
- scattering
- string
References(51)
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