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Dual description of η-deformed OSP sigma models

Alfimov, Mikhail and Feigin, Boris and Hoare, Ben and Litvinov, Alexey (2020) 'Dual description of η-deformed OSP sigma models.', Journal of high energy physics., 2020 (12). p. 40.


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.

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Publisher 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.
Date accepted:17 November 2020
Date deposited:13 April 2021
Date of first online publication:07 December 2020
Date first made open access:13 April 2021

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