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

Hoare, Ben; Levine, Nat; Seibold, Fiona K.

Abstract

Integrable string sigma models on AdS3 backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly rich since the two supergroups in the product can be deformed independently. We construct bi-η and bi-λ deformations of two classes of ℤ4 permutation supercoset sigma models, which describe sectors of the Green-Schwarz and pure-spinor string worldsheet theories on type II AdS3 backgrounds with pure R-R flux. We discuss an important limit of these models when one supergroup is undeformed. The associated deformed supergravity background should preserve 8 supersymmetries and is expected to have better properties than the full bi-deformation. As a step towards investigating the quantum properties of these models, we study the two-loop RG flow of the bosonic truncation of the bi-λ deformation.

Citation

Hoare, B., Levine, N., & Seibold, F. K. (2023). Bi-η and bi-λ deformations of ℤ4 permutation supercosets. Journal of High Energy Physics, 2023(4), Article 24. https://doi.org/10.1007/jhep04%282023%29024

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2023
• Online Publication Date: Apr 5, 2023
• Publication Date: 2023-04
• Deposit Date: May 16, 2023
• Publicly Available Date: May 17, 2023
• 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: 2023
• Issue: 4
• Article Number: 24
• DOI: https://doi.org/10.1007/jhep04%282023%29024
• Related Public URLs: https://arxiv.org/abs/2212.08625