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

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

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
• 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