5 problems
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Hoare–Tseytlin conjecture on homogeneous Yang–Baxter deformations and non-Abelian T-duality
Let a homogeneous Yang–Baxter deformation be a deformation defined by a skew-symmetric classical -matrix solving the homogeneous classical Yang–Baxter equation, and let a non-Ab…
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Identification of the two-parameter diagonal Yang–Baxter deformation with the generalised lambda-model
Generalised lambda-model identification conjecture. This two-parameter deformation is identical to the generalised -model introduced by Sfetsos as a two-parameter deformat…
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Identification of the three-parameter Yang–Baxter deformation with the model of Delduc et al.
Identification conjecture. The three-parameter deformed model coincides with the model of Delduc et al. without TsT transformations.
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Correspondence between homogeneous Yang–Baxter deformations of anti-de Sitter space and conformal twists
Homogeneous Yang–Baxter deformations of anti-de Sitter space are associated with twists of the conformal algebra. Correspondence conjecture. Homogeneous Yang–Baxter deformations of…
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Integrability conjecture for the listed Yang–Baxter backgrounds
The paper considers classical -matrices satisfying the classical Yang–Baxter equation, with the corresponding backgrounds not yet identified explicitly. Integrability conjecture…