Novel integrable interpolations

TL;DR

This paper introduces a new class of integrable sigma-models that smoothly connect different spacetime geometries, including coset conformal field theories and hyperbolic spaces, revealing novel limits and relations to deformed models.

Contribution

The authors construct a new integrable class of sigma-models interpolating between IR and UV geometries, and identify a novel zoom-in limit distinct from non-Abelian T-duality.

Findings

Established relation to $ ext{lambda}$-deformed models for non-compact cosets

Constructed an interpolating model with cosmological and black hole spacetime interpretations

Discovered a new zoom-in limit different from known non-Abelian T-duality

Abstract

A novel class of integrable $\sigma$-models interpolating between exact coset conformal field theories in the IR and hyperbolic spaces in the UV is constructed. We demonstrate the relation to the asymptotic limit of $\lambda$-deformed models for cosets of non-compact groups. An integrable model interpolating between two spacetimes with cosmological and black hole interpretations and exact conformal field theory descriptions is also provided. In the process of our work, a new zoom-in limit, distinct from the well known non-Abelian T-duality limit, is found.