# Dual description of η-deformed OSP sigma models

@article{Alfimov2020DualDO, title={Dual description of $\eta$-deformed OSP sigma models}, author={Mikhail Alfimov and Boris Feigin and Ben Hoare and Alexey Litvinov}, journal={Journal of High Energy Physics}, year={2020} }

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…

## 2 Citations

On loop corrections to integrable 2D sigma model backgrounds

- MathematicsJournal of High Energy Physics
- 2022

We study regularization scheme dependence of β -function for sigma models with two-dimensional target space. Working within four-loop approximation, we conjecture the scheme in which the β -function…

Integrable deformations of AdS/CFT

- Mathematics, Computer ScienceJournal of High Energy Physics
- 2022

This paper identifies a new elliptic deformation of the AdS3× S3× M4 string sigma model and works out crossing symmetry for these models and study their symmetry algebras and representations.

## References

SHOWING 1-10 OF 70 REFERENCES

Integrable sigma models and 2-loop RG flow

- MathematicsJournal of High Energy Physics
- 2019

Abstract
Following arXiv:1907.04737, we continue our investigation of the relation between the renormalizability (with finitely many couplings) and integrability in 2d σ- models. We focus on the…

Derivation of the action and symmetries of the q-deformed AdS5 × S5 superstring

- Mathematics
- 2014

A bstractWe recently proposed an integrable q-deformation of the AdS5 × S5 superstring action. Here we give details on the hamiltonian origin and construction of this deformation. The procedure is a…

Solutions to the Yang-Baxter Equation and Casimir Invariants for the Quantised Orthosymplectic Superalgebra

- Mathematics
- 2005

For the last fifteen years quantum superalgebras have been used to model supersymmetric quantum systems. A class of quasi-triangular Hopf superalgebras, they each contain a universal $R$-matrix,…

Scattering and duality in the 2 dimensional OSp(2|2) gross neveu and sigma models

- Computer Science
- 2010

The thermodynamic Bethe ansatz is written for the massive OSp(2|2) Gross Neveu and sigma models and finds evidence that the GN S matrix proposed by Bassi and Leclair is the correct one, and features of the sigma model S matrix seem highly unconventional.

On classical q-deformations of integrable σ-models

- Mathematics
- 2013

A bstractA procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group…

Non-split and split deformations of AdS_5

- Mathematics, Physics
- 2016

The η deformation of the AdS 5 × S 5 superstring depends on a non-split r matrix for the superalgebra psu ( 2 , 2 ∣ 4 ) . Much of the investigation into this model has considered one particular…

Quantum sine-Gordon equation as the massive Thirring model

- Physics, Mathematics
- 1975

The sine-Gordon equation is the theory of a massless scalar field in one space and one time dimension with interaction density proportional to $cos\ensuremath{\beta}\ensuremath{\phi}$, where…

On dual description of the deformed O(N) sigma model

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe study dual strong coupling description of integrability-preserving deformation of the O(N) sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion…

Yang-Baxter $\sigma$-models and dS/AdS T-duality

- Mathematics
- 2002

We point out the existence of nonlinear $\sigma$-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular…

Uqosp(2,2) lattice models

- Mathematics
- 1995

In this paper I construct lattice models with an underlying Uqosp(2,2) superalgebra symmetry. I find new solutions to the graded Yang-Baxter equation. These trigonometric R-matrices depend on three…