T-Duality and $T \overline{T}$-like Deformations of Sigma Models

Daniele Bielli; Christian Ferko; Liam Smith; Gabriele Tartaglino-Mazzucchelli

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arXiv · 2407.11636

T-Duality and $T \overline{T}$-like Deformations of Sigma Models

Daniele Bielli·Christian Ferko·Liam Smith·Gabriele Tartaglino-Mazzucchelli

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Abstract

We initiate the study of the interplay between T-duality and classical stress tensor deformations in two-dimensional sigma models. We first show that a general Abelian T-duality commutes with the $T \overline{T}$ deformation, which can be engineered by a gravitational dressing. Then, by using an auxiliary field formulation of stress tensor deformations of the principal chiral model (PCM), we prove that non-Abelian T-duality and arbitrary $T \overline{T}$-like flows also commute for theories in this class. We argue that all such auxiliary field deformations of both the PCM and its T-dual are classically integrable.

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Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli. 2024-07-16. T-Duality and $T \overline{T}$-like Deformations of Sigma Models. https://arxiv.org/abs/2407.11636

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