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M. A. Semenov-Tyan-Shanskii, “What is a classical r r -matrix?” Funct. Anal. Appl. 17
1983
Earlier work this paper cites.
E. Abdalla, M. C. Abdalla and K. Rothe, “Non-perturbative methods in two-dimensional quantum field theory,” World Scientific, 1991
1991
Earlier work this paper cites.
J. Lukierski, H. Ruegg, A. Nowicki and V. N. Tolstoy, “Q deformation of Poincare algebra,” Phys. Lett. B 264
1992
Earlier work this paper cites.
C. R. Nappi and E. Witten, “A WZW model based on a nonsemisimple group,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
E. Kiritsis, C. Kounnas and D. Lust, “Superstring gravitational wave backgrounds with space-time supersymmetry,” Phys. Lett. B 331
1994
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, “Noncommutative Yang-Mills and the AdS / CFT correspondence,” Phys. Lett. B 465
1999
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, “Large N limit of noncommutative gauge theories,” JHEP 9909
1999
Earlier work this paper cites.
M. Blau, J. M. Figueroa-O’Farrill, C. Hull and G. Papadopoulos, “A New maximally supersymmetric background of IIB superstring theory,” JHEP 0201
2002
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U ⁡ ( 1 ) × U ⁡ ( 1 ) U(1)\times U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
D. T. Son, “Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrödinger symmetry,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.

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2015

Yang-Baxter invariance of the Nappi-Witten model

Kyono, Hideki, Yoshida, Kentaroh

Understand

We study Yang-Baxter deformations of the Nappi-Witten model with a prescription invented by Delduc, Magro and Vicedo.

The deformations are specified by skew-symmetric classical $r$-matrices satisfying (modified) classical Yang-Baxter equations.
We show that the sigma-model metric is invariant under arbitrary deformations (while the coefficient of $B$-field is changed) by utilizing the most general classical $r$-matrix.
Furthermore, the coefficient of $B$-field is determined to be the original value from the requirement that the one-loop $\beta$-function should vanish.

Built on

M. A. Semenov-Tyan-Shanskii, “What is a classical r r -matrix?” Funct. Anal. Appl. 17
1983
Earlier work this paper cites.
E. Abdalla, M. C. Abdalla and K. Rothe, “Non-perturbative methods in two-dimensional quantum field theory,” World Scientific, 1991
1991
Earlier work this paper cites.
J. Lukierski, H. Ruegg, A. Nowicki and V. N. Tolstoy, “Q deformation of Poincare algebra,” Phys. Lett. B 264
1992
Earlier work this paper cites.
C. R. Nappi and E. Witten, “A WZW model based on a nonsemisimple group,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
E. Kiritsis, C. Kounnas and D. Lust, “Superstring gravitational wave backgrounds with space-time supersymmetry,” Phys. Lett. B 331
1994
Earlier work this paper cites.
A. Hashimoto and N. Itzhaki, “Noncommutative Yang-Mills and the AdS / CFT correspondence,” Phys. Lett. B 465
1999
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, “Large N limit of noncommutative gauge theories,” JHEP 9909
1999
Earlier work this paper cites.
M. Blau, J. M. Figueroa-O’Farrill, C. Hull and G. Papadopoulos, “A New maximally supersymmetric background of IIB superstring theory,” JHEP 0201
2002
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U ⁡ ( 1 ) × U ⁡ ( 1 ) U(1)\times U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
D. T. Son, “Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrödinger symmetry,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.