Dual description of η-deformed OSP sigma models

Alfimov, Mikhail; Feigin, Boris; Hoare, Ben; Litvinov, Alexey

Abstract

We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter b, which defines the η-deformed OSP(N|2m) sigma model in the limit b → ∞ and a certain Toda QFT as b → 0. In the sigma model regime we show that the leading UV asymptotic of the η-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b → 0 we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric OSP(N|2m) S-matrix.

Citation

Alfimov, M., Feigin, B., Hoare, B., & Litvinov, A. (2020). Dual description of η-deformed OSP sigma models. Journal of High Energy Physics, 2020(12), Article 40. https://doi.org/10.1007/jhep12%282020%29040

• Journal Article Type: Article
• Acceptance Date: Nov 17, 2020
• Online Publication Date: Dec 7, 2020
• Publication Date: 2020-12
• Deposit Date: Jan 1, 2021
• Publicly Available Date: Apr 13, 2021
• 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: 2020
• Issue: 12
• Article Number: 40
• DOI: https://doi.org/10.1007/jhep12%282020%29040
• Public URL: https://durham-repository.worktribe.com/output/1254450
• Related Public URLs: https://arxiv.org/abs/2010.11927