# Integrable sigma models and 2-loop RG flow

@article{Hoare2019IntegrableSM, title={Integrable sigma models and 2-loop RG flow}, author={Ben Hoare and Nat Levine and Arkady A. Tseytlin}, journal={Journal of High Energy Physics}, year={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 “λ-model,” an integrable model associated to a group or symmetric space and containing as special limits a (gauged) WZW model and an “interpolating model” for non-abelian duality. The parameters are the WZ level k and the coupling λ, and the fields are g, valued in a group G, and a 2d vector A± in…

## 26 Citations

Sigma models with local couplings: a new integrability-RG flow connection

- Physics, Mathematics
- 2020

We consider several classes of $\sigma$-models (on groups and symmetric spaces, $\eta$-models, $\lambda$-models) with local couplings that may depend on the 2d coordinates, e.g. on time $\tau$. We…

Dual description of η-deformed OSP sigma models

- MathematicsJournal of High Energy Physics
- 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…

Integrability vs. RG flow in $G \times G$ and $G \times G /H$ sigma models

- Mathematics
- 2021

We consider a class of 2d σ-models on products of group spaces that provide new examples of a close connection between integrability and stability under the RG flow. We first study the integrable G ×…

An exact symmetry in λ-deformed CFTs

- MathematicsJournal of High Energy Physics
- 2020

We consider $\lambda$-deformed current algebra CFTs at level $k$, interpolating between an exact CFT in the UV and a PCM in the IR. By employing gravitational techniques, we derive the two-loop, in…

Sigma model on a squashed sphere with a Wess-Zumino term

- PhysicsPhysical Review D
- 2021

A class of two-dimensional sigma models interpolating between $CP^1$ and the $SU(2)$ principal chiral model is discussed. We add the Wess-Zumino-Novikov-Witten term and examine the renormalization…

Integrable $\lambda$-deformations of the Euclidean black string

- Mathematics
- 2020

Non-trivial outer algebra automorphisms may be utilized in λ-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable…

The twisted story of worldsheet scattering in η-deformed AdS5 × S5

- Physics, Mathematics
- 2020

We study the worldsheet scattering theory of the $\eta$ deformation of the AdS$_\mathsf{5} \times $S$^\mathsf{5}$ superstring corresponding to the purely fermionic Dynkin diagram. This theory is a…

Integrable deformed T1,1 sigma models from 4D Chern-Simons theory

- MathematicsJournal of High Energy Physics
- 2021

Abstract
Recently, a variety of deformed T1,1 manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [46]. We…

RG flows of integrable σ-models and the twist function

- Mathematics
- 2020

In the study of integrable non-linear $\sigma$-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a…

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