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Interesting deformations of AdS_5 x S^5 such as the gravity dual of noncommutative SYM and Sch\"odinger spacetimes have recently been shown to be integrable.
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R. Metsaev and A. A. Tseytlin, Type IIB superstring action in AdS(5) x S**5 background
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M. Duff, H. Lu, and C. Pope, AdS(5) x S**5 untwisted
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I. Bena, J. Polchinski, and R. Roiban, Hidden symmetries of the 𝐴𝑑𝑆 5 × S 5 \mathit{AdS}_{5}\times\mathit{S}^{5} superstring
2004
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2005
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M. Sakaguchi and K. Yoshida, Super Schroedinger algebra in AdS/CFT
2008
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N. Beisert and P. Koroteev, Quantum Deformations of the One-Dimensional Hubbard Model
2008
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2009
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C. Klimcik, On integrability of the Yang-Baxter sigma-model
2009
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2012
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G. Arutyunov, M. de Leeuw, and S. J. van Tongeren, The Quantum Deformed Mirror TBA II
2013
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F. Delduc, M. Magro, and B. Vicedo, On classical q q -deformations of integrable sigma-models
2013
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2014
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2009
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N. Bobev and A. Kundu, Deformations of Holographic Duals to Non-Relativistic CFTs
2009
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N. Bobev, A. Kundu, and K. Pilch, Supersymmetric IIB Solutions with Schrodinger Symmetry
2009
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2009
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2009
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2009
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2010
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G. Arutyunov, M. de Leeuw, and S. J. van Tongeren, Twisting the Mirror TBA
2011
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2014
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2014
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B. Hoare, R. Roiban, and A. Tseytlin, On deformations of A d S n AdS_{n} x S n S^{n} supercosets
2014
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2014
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2014
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2014
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2014
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2014
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2015
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2015
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