Dual description of η-deformed OSP sigma models

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.

Integrable sigma models at RG fixed points: quantisation as affine Gaudin models

“…It would be interesting to study the chiral limits of these coset theories using techniques similar to the ones developed in this paper. For instance, relevant examples in this context might be the conformal limits of Yang-Baxter deformations of the OpN q sigma models and their supersymmetric version, which have been the subject of recent works in the literature [94][95][96], and of the integrable coset sigma models on G ˆG{H [97-100] whose conformal limit is the Guadagnini-Martellini-Mintchev CFT [101].…”

On loop corrections to integrable $2D$ sigma model backgrounds

“…The RG flow of these models depends on the difference of N − 2m. It was shown in [30] that in the regime of purely imaginary η = iκ they are asymptotically free if N − 2m > 2, conformal if N − 2m = 2 and infrared free if N − 2m < 2. There was also analyzed the UV limit of these theories for N − 2m > 2, which can be understood as a free theory perturbed by a set of operators assembled from certain screening charges.…”

“…Putting (A.14), (2.2), (2.3) and (2.4) into (A.8), we derive a set of equations for the unknown coefficients b(L) k . These equations are too cumbersome to be written here, but can be easily solved and here we write just the solution for the two-and three-loop orders b(2) It is rather natural to expect that integrable deformed sigma models in the UV limit can be understood as a Gaussian theory perturbed by certain relevant operators (see for example discussions in [30]). These operators are constrained by the integrable structure of the QFT and are built from the screening charges.…”

On loop corrections to integrable 2D sigma model backgrounds

“…The RG flow of these models depends on the difference of N − 2m. It was shown in [39] that in the regime of purely imaginary η = iκ they are asymptotically free if N − 2m > 2, conformal if N − 2m = 2 and infrared free if N − 2m < 2. There was also analyzed the UV limit of these theories for N − 2m > 2, which can be understood as a free theory perturbed by a set of operators assembled from certain screening charges.…”

“…In the work [34] it was shown that integrable deformed O(N sigma models in the UV limit can be understood as a Gaussian theory perturbed by certain relevant operators (for the OSp(N |2m) sigma models see the discussion in [39]). These operators are constrained by the integrable structure of the sigma model and are built from the screening charges.…”