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Dual description of η-deformed OSP sigma models

A bstract We study the dual description of the η -deformed OSP( N |2 m ) sigma model in the asymptotically free regime ( N > 2 m + 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 cla...

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Bibliographic Details
Published in:The journal of high energy physics 2020-12, Vol.2020 (12), p.1-46, Article 40
Main Authors: Alfimov, Mikhail, Feigin, Boris, Hoare, Ben, Litvinov, Alexey
Format: Article
Language:English
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Summary:A bstract We study the dual description of the η -deformed OSP( N |2 m ) sigma model in the asymptotically free regime ( N > 2 m + 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 |2 m ) 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 |2 m ) S -matrix.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2020)040