Bi-η and bi-λ deformations of ℤ4 permutation supercosets

Self Cite

With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. The resulting tree-level S-matrix is compatible with the integrability of the model and has interesting features, including a hidden U(1) symmetry not manifest in the Lagrangian. We find that it cannot be embedded in the known exact integrable R-matrices describing deformations of the undeformed AdS3 × S3 × T4 light-cone gauge S-matrix including fermions. Therefore, we construct embeddings of the deformed 6-d metric in type II supergravity with constant dilaton and homogeneous fluxes. The simplicity of these solutions suggests they are promising candidates to lead to an integrable string sigma model including fermions.

Section: Discussionmentioning

confidence: 99%

Elliptic deformations of the AdS3 × S3 × T4 string

Hoare,

Retore,

Seibold

2024

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“…Therefore, it is natural to explore the holographic dual of our construction and study the thermal JHEP01(2024)084 effects by constructing the corresponding black hole solution, which amounts to turning on temperature in the holographic dual system. Finally, it would be worth checking whether our supersymmetric λ-deformed AdS 3 × S 3 × T 4 background can be derived from the integrable λ-deformed supercoset σ-model constructed in [41], also argued to preserve 8 supercharges.…”

Section: Discussionmentioning

confidence: 99%

Supersymmetric backgrounds from λ-deformations

Itsios,

Sfetsos,

Siampos

2024

We provide the first supersymmetric embedding of an integrable λ-deformation to type-II supergravity. Specifically, that of the near horizon of the NS1-NS5 brane intersection, geometrically corresponding to AdS3 × S3 × T4. We show that the deformed background preserves 1/4 of the maximal supersymmetry. In the Penrose limit we show that it preserves no-more than one half of the maximal supersymmetry.

On a class of conformal $$ \mathcal{E} $$-models and their chiral Poisson algebras

Lacroix

2023

In this paper, we study conformal points among the class of $$ \mathcal{E} $$ E -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics and their 1-loop RG-flow. We use these results to formulate a simple algebraic condition on the defining data of such a model which ensures its 1-loop conformal invariance and the decoupling of its observables into two chiral Poisson algebras, describing the classical left- and right-moving fields of the theory. In the case of so-called non-degenerate $$ \mathcal{E} $$ E -models, these chiral sectors form two current algebras and the model takes the form of a WZW theory once realised as a σ-model. The case of degenerate $$ \mathcal{E} $$ E -models, in which a subalgebra of the current algebra is gauged, is more involved: the conformal condition yields a wider class of theories, which includes gauged WZW models but also other examples, seemingly different, which however sometimes turn out to be related to gauged WZW models based on other Lie algebras. For this class, we build non-local chiral fields of parafermionic-type as well as higher-spin local ones, forming classical $$ \mathcal{W} $$ W -algebras. In particular, we find an explicit and efficient algorithm to build these local chiral fields. These results (and their potential generalisations discussed at the end of the paper) open the way for the quantisation of a large class of conformal $$ \mathcal{E} $$ E -models using the standard operator formalism of two-dimensional CFT.