Built on

A. M. Polyakov, “Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields,” Phys. Lett. B 59
1975
Earlier work this paper cites.
I. V. Cherednik, “Relativistically Invariant Quasiclassical Limits of Integrable Two-dimensional Quantum Models,” Theor. Math. Phys. 47
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Earlier work this paper cites.
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1983
Earlier work this paper cites.
E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys. 92
1984
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E. S. Fradkin and V. Y. Linetsky, “On space-time interpretation of the coset models in D < < 26 critical string theory,” Phys. Lett. B 277
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S. G. Rajeev, “Nonabelian Bosonization Without Wess-zumino Terms. 1. New Current Algebra,” Phys. Lett. B 217
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A. A. Tseytlin, “On A ’Universal’ class of WZW type conformal models,” Nucl. Phys. B 418
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R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in AdS 5 × {}_{5}\times S 5 background,” Nucl. Phys. B 533
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J. Rahmfeld and A. Rajaraman, “The GS string action on AdS 3 × {}_{3}\times S 3 with Ramond-Ramond charge,” Phys. Rev. D 60
1999
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N. Berkovits, C. Vafa and E. Witten, “Conformal field theory of AdS background with Ramond-Ramond flux,” JHEP 9903
2000
Earlier work this paper cites.

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2016

Generalized $\lambda$-deformations of AdS_p x S^p

Chervonyi, Yuri, Lunin, Oleg

Understand

We study analytical properties of the generalized $\lambda$-deformation, which modifies string theories while preserving integrability, and construct the explicit backgrounds corresponding to AdS_p x S^p, including the Ramond-Ramond fluxes.

For an arbitrary coset, we find the general form of the R-matrix underlying the deformation, and prove that the dilaton is not modified by the deformation, while the frames are multiplied by a constant matrix.
Our explicit solutions describe families of integrable string theories depending on several continuous parameters.

Built on

A. M. Polyakov, “Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields,” Phys. Lett. B 59
1975
Earlier work this paper cites.
I. V. Cherednik, “Relativistically Invariant Quasiclassical Limits of Integrable Two-dimensional Quantum Models,” Theor. Math. Phys. 47
1981
Earlier work this paper cites.
P. P. Kulish, N. Y. Reshetikhin and E. K. Sklyanin, “Yang-Baxter Equation and Representation Theory. 1.,” Lett. Math. Phys. 5
1983
Earlier work this paper cites.
E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys. 92
1984
Earlier work this paper cites.
E. S. Fradkin and V. Y. Linetsky, “On space-time interpretation of the coset models in D < < 26 critical string theory,” Phys. Lett. B 277
1992
Earlier work this paper cites.
S. G. Rajeev, “Nonabelian Bosonization Without Wess-zumino Terms. 1. New Current Algebra,” Phys. Lett. B 217
1994
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.
R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in AdS 5 × {}_{5}\times S 5 background,” Nucl. Phys. B 533
1998
Earlier work this paper cites.
J. Rahmfeld and A. Rajaraman, “The GS string action on AdS 3 × {}_{3}\times S 3 with Ramond-Ramond charge,” Phys. Rev. D 60
1999
Earlier work this paper cites.
N. Berkovits, C. Vafa and E. Witten, “Conformal field theory of AdS background with Ramond-Ramond flux,” JHEP 9903
2000
Earlier work this paper cites.