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Similar

B. Hoare, R. Roiban and A. A. Tseytlin, “On deformations of A d S n AdS_{n} x S n S^{n} supercosets,” JHEP 1406
Original
2014
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A. Borowiec and A. Pachol, “Unified description for κ \kappa -deformations of orthogonal groups,” Eur. Phys. J. C 74
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2014
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K. Sfetsos and D. C. Thompson, “Spacetimes for λ \lambda -deformations,” JHEP 1412
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2014
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2015
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Ö. Kelekci, Y. Lozano, N. T. Macpherson and E. Ó Colgáin, “Supersymmetry and non-Abelian T-duality in type II supergravity,” Class. Quant. Grav. 32

Then

A. Pachol and S. J. van Tongeren, “Quantum deformations of the flat space superstring,” Phys. Rev. D 93
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B. Hoare and A. A. Tseytlin, “Homogeneous Yang-Baxter deformations as non-abelian duals of the A d S 5 AdS_{5} sigma-model,” J. Phys. A 49
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2016
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R. Borsato and L. Wulff, “Integrable Deformations of T T -Dual σ \sigma Models,” Phys. Rev. Lett. 117
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2016
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R. Borsato and L. Wulff, “Target space supergeometry of η \eta and λ \lambda -deformed strings,” JHEP 1610
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2016
Later among the works it cites.
B. Hoare and S. J. van Tongeren, “On jordanian deformations of AdS 5 and supergravity,” J. Phys. A 49

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2018

Embedding the modified CYBE in Supergravity

Araujo, Thiago, Colgáin, Eoin Ó, Yavartanoo, Hossein

Understand

It has recently been demonstrated that the Classical Yang-Baxter Equation (CYBE) emerges from supergravity via the open-closed string map.

Thus, given any solution with an isometry group, there exists a deformed solution based on an $r$-matrix solution to the homogeneous CYBE.
In this work, we argue that the CYBE emerges exclusively from the NS sector, while the RR sector acts largely as a spectator that supports the spacetimes.
Moreover, shifting the dilaton by a constant, one can incorporate $r$-matrix solutions to the modified CYBE, but only for original geometries that are a direct-product of coset spaces.