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S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models · Around

2015

S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models

Hollowood, Timothy J., Miramontes, J. Luis, Schmidtt, David M.

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Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed.

One class of these, the k deformations associated to the more general q deformations but with q=exp(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.

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A. B. Zamolodchikov and A. B. Zamolodchikov, “Factorized S Matrices In Two-Dimensions As The Exact Solutions Of Certain Relativistic Quantum Field Models,”. Annals Phys. 120
1979
Earlier work this paper cites.
E. Abdalla, M. Forger and M. Gomes, “On The Origin Of Anomalies In The Quantum Nonlocal Charge For The Generalized Nonlinear σ \sigma Models,” Nucl. Phys. B 210
1982
Earlier work this paper cites.
E. Abdalla, M. C. B. Abdalla and A. Lima-Santos, “On The Exact Solution Of The Principal Chiral Model,”. Phys. Lett. B 140
1984
Earlier work this paper cites.
M. C. B. Abdalla, “The Exact S Matrices Of The Principal Chiral Model With Any Nonexceptional Symmetry Group,”. Phys. Lett. B 164
1985
Earlier work this paper cites.
L.D. Faddeev, N.Yu. Reshetikhin. “Integrability Of The Principal Chiral Field Model In (1+1)-Dimension”. Annals Phys. 167 (1986) 227
1986
Earlier work this paper cites.
J. M. Maillet. “New Integrable Canonical Structures In Two-dimensional Models”. Nucl.Phys. B269 (1986) 54
1986
Earlier work this paper cites.
E. Abdalla, M. C. B. Abdalla and M. Forger, “Exact S Matrices For Anomaly Free Nonlinear σ \sigma Models On Symmetric Spaces,”. Nucl. Phys. B 297
1988
Earlier work this paper cites.
C. Ahn, D. Bernard and A. LeClair, Nucl. Phys. B 346
1990
Earlier work this paper cites.
A. Alekseev, L.D. Faddeev, M. Semenov-Tian-Shansky, A. Volkov. “The Unraveling Of The Quantum Group Structure In The WZNW Theory”. Jan 1991. 16 pp. CERN-TH-5981-91
1991
Earlier work this paper cites.
A. Alekseev, L.D. Faddeev, M. Semenov-Tian-Shansky. “Hidden Quantum Groups Inside Kac-Moody Algebra”. Commun.Math.Phys. 149 (1992) 335-345
1992
Earlier work this paper cites.
A. A. Tseytlin, “On A ’Universal’ Class of WZW Type Conformal Models,”. Nucl. Phys. B 418
1994
Earlier work this paper cites.
T. J. Hollowood, “The Analytic Structure Of Trigonometric S Matrices,”. Nucl. Phys. B 414
1994
Earlier work this paper cites.
J. M. Evans and T. J. Hollowood, “Integrable Theories That Are Asymptotically CFT,”. Nucl. Phys. B 438
1995
Earlier work this paper cites.
Anton Yu. Alekseev, L.D. Faddeev, Jurg Frohlich, Volker Schomerus. “Representation Theory Of Lattice Current Algebras”. Commun.Math.Phys. 191 (1998) 31-60. e-Print: q-alg/9604017
1998
Earlier work this paper cites.

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J.M. Maillet, J. Sanchez de Santos. “Drinfel’d Twists And Algebraic Bethe Ansatz”. In L.D. FaddeevÕs Seminar on Mathematical Physics, pages 137-178. Amer. Math. Soc. Transl. Ser. 2, 201, Amer. Math. Soc., Providence, RI, 2000. e-Print: q-alg/9612012
2000
Cited alongside, same era.
Ctirad Klimcik. “Yang-Baxter Sigma Models And dS/ AdS
2002
Cited alongside, same era.
M. Grigoriev, Arkady A. Tseytlin. “Pohlmeyer Reduction Of AdS 5 × S 5 \text{AdS}_{5}\times S^{5} Superstring Sigma Model”. Nucl.Phys. B800 (2008) 450-501. e-Print: arXiv:0711.0155
Original
2008
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Original
2008
Cited alongside, same era.
J. L. Miramontes. “Pohlmeyer Reduction Revisited”. JHEP 0810

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Original
2012
Later among the works it cites.
F. Delduc, M. Magro, B. Vicedo. “On Classical q-Deformations Of Integrable Sigma-Models”. JHEP 1311 (2013) 192. e-Print: arXiv:1308.3581
Original
2013
Later among the works it cites.
B. Hoare, T. J. Hollowood and J. L. Miramontes. “Restoring Unitarity In The q-Deformed World-Sheet S-Matrix,”. JHEP 1310
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Later among the works it cites.
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Original
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