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

التفاصيل البيبلوغرافية
العنوان: T-Duality and $T \overline{T}$-like Deformations of Sigma Models
المؤلفون: Bielli, Daniele, Ferko, Christian, Smith, Liam, Tartaglino-Mazzucchelli, Gabriele
سنة النشر: 2024
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
Nonlinear Sciences
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: 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.
Comment: 7 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.11636
رقم الأكسشن: edsarx.2407.11636
قاعدة البيانات: arXiv