Dual description of $\eta$-deformed OSP sigma models

Mikhail Alfimov; Boris Feigin; Ben Hoare; Alexey Litvinov

doi:10.1007/jhep12(2020)040

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arXiv · 2010.11927

Dual description of $\eta$-deformed OSP sigma models

Mikhail Alfimov·Boris Feigin·Ben Hoare·Alexey Litvinov

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Abstract

We study the dual description of the $\eta$-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 $\eta$-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 $\eta$-deformed $OSP(N|2m)$ sigma model in the limit $b\rightarrow\infty$ and a certain Toda QFT as $b\rightarrow0$. In the sigma model regime we show that the leading UV asymptotic of the $\eta$-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime $b\rightarrow0$ 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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Mikhail Alfimov, Boris Feigin, Ben Hoare, Alexey Litvinov. 2020-10-22. Dual description of $\eta$-deformed OSP sigma models. https://doi.org/10.1007/jhep12(2020)040

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