Integrable asymmetric λ-deformations
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We construct integrable deformations of the $\lambda$-type for asymmetrically gauged WZW models. This is achieved by a modification of the Sfetsos gauging procedure to account for a possible automorphism that is allowed in $G/G$ models. We verify classical integrability, derive the one-loop beta function for the deformation parameter and give the construction of integrable D-brane configurations in these models. As an application, we detail the case of the $\lambda$-deformation of the cigar geometry corresponding to the axial gauged $SL(2,R)/U(1)$ theory at large $k$. Here we also exhibit a range of both A-type and B-type integrability preserving D-brane configurations.
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Supergravity realisations of $\lambda$-models
Type-II supergravity solutions are built from λ-deformed coset models that contain undeformed AdS spaces, connecting these deformations to AdS/CFT while constraining λ via reality conditions.
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