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Elliptic deformations of the AdS 3 × S 3 × T 4 string

Hoare, Ben; Retore, Ana L.; Seibold, Fiona K.

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Authors

Dr Ana Retore ana.retore@durham.ac.uk
Post Doctoral Research Associate

Fiona K. Seibold



Abstract

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.

Citation

Hoare, B., Retore, A. L., & Seibold, F. K. (2024). Elliptic deformations of the AdS 3 × S 3 × T 4 string. Journal of High Energy Physics, 2024(4), Article 42. https://doi.org/10.1007/jhep04%282024%29042

Journal Article Type Article
Acceptance Date Mar 19, 2024
Online Publication Date Apr 9, 2024
Publication Date Apr 9, 2024
Deposit Date Apr 25, 2024
Publicly Available Date May 2, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2024
Issue 4
Article Number 42
DOI https://doi.org/10.1007/jhep04%282024%29042
Keywords Bosonic Strings, Integrable Field Theories, Superstring Vacua, Sigma Models
Public URL https://durham-repository.worktribe.com/output/2383466

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