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Integrable $\lambda$-deformations: Squashing Coset CFTs and $AdS_5\times S^5$

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arxiv 1504.02781 v2 pith:JVH7EDGA submitted 2015-04-10 hep-th

Saskia Demulder , Konstantinos Sfetsos , Daniel C. Thompson This is my paper · ORCID
classification hep-th
keywords cosetlambdatimescftsdeformationdeformationsintegrablemodel
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abstract

We examine integrable $\lambda$-deformations of $SO(n+1)/SO(n)$ coset CFTs and their analytic continuations. We provide an interpretation of the deformation as a squashing of the corresponding coset $\sigma$-model's target space. We realise the $\lambda$-deformation for $n=5$ case as a solution to supergravity supported by non-vanishing five-form and dilaton. This interpolates between the coset CFT $SO(4,2)/SO(4,1)\times SO(6)/SO(5)$ constructed as a gauged WZW model and the non-Abelian T-dual of the $AdS_5\times S^5$ spacetime.

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Cited by 4 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. Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring

    hep-th 2019-09 conditional novelty 6.0 of 10

    The classical spectral curve of the lambda-deformed AdS5 x S5 superstring is constructed and identified with the semiclassical limit of XXZ-type Bethe ansatz equations for PSU(2,2|4).

  4. 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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