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

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

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Nat Levine

Fiona K. Seibold


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.


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.

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
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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