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Integrable asymmetric $\lambda$-deformations

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arxiv 1902.04142 v1 pith:JMXPHVH4 submitted 2019-02-11 hep-th

Sibylle Driezen , Alexander Sevrin , Daniel C. Thompson This is my paper · ORCID
classification hep-th
keywords integrablelambdamodelsconfigurationsd-branedeformationdeformationsgauged
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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Asymmetric $\lambda$-deformed cosets

    hep-th 2019-08 accept novelty 7.0 of 10

    The asymmetric lambda-deformed SO(n+1)/SO(n) coset model is equivalent to the symmetric lambda-deformed model under the coordinate and parameter transformation theta -> pi - theta, lambda -> -lambda.

  2. Type-II backgrounds from deformed coset CFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    Type-IIA and IIB supergravity backgrounds are constructed explicitly from λ-deformed cosets SO(4)/SO(3), SO(5)/SO(4), and SO(1,4)/SO(4), with reality conditions bounding the deformation parameter.

  3. Supergravity realisations of $\lambda$-models

    hep-th 2025-12 unverdicted novelty 5.0 of 10

    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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