T Duality and T T ¯ -like Deformations of Sigma Models

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

doi:10.1103/PhysRevLett.134.101601

Title: T Duality and $T \bar{T}$ -like Deformations of Sigma Models

Journal Article · 10 March 2025 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.134.101601 · OSTI ID:2530427

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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 $T \bar{T}$ 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 $T \bar{T}$ -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. Published by the American Physical Society 2025

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009999

OSTI ID:: 2530427

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 134; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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