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

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

doi:10.1007/JHEP12(2020)040

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

Mikhail Alfimov
(
- Higher Sch. of Economics, Moscow and
- Lebedev Inst.
)
,
Boris Feigin
(
- Higher Sch. of Economics, Moscow and
- Landau Inst.
)
,
Ben Hoare
(
- Durham U., Dept. of Math.
)
,
Alexey Litvinov
(
- Landau Inst. and
- Skoltech
)

Oct 22, 2020

46 pages

Published in:

JHEP 12 (2020) 040

Published: 2020

e-Print:

2010.11927 [hep-th]

DOI:

10.1007/JHEP12(2020)040

View in:

reference search11 citations

Citations per year

Abstract: (Springer)

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.

Note:

46 pages, 16 figures; v2: typos fixed; v3: references added, typos fixed, published version

Integrable Field Theories
Sigma Models
field theory: Toda
charge: screening
sigma model
tree approximation
two-particle
deformation
S-matrix
asymptotic freedom

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