تقرير
Integrable Higher-Spin Deformations of Sigma Models from Auxiliary Fields
| العنوان: | Integrable Higher-Spin Deformations of Sigma Models from Auxiliary Fields |
|---|---|
| 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 construct a new infinite family of integrable deformations of the principal chiral model (PCM) parameterized by an interaction function of several variables, which extends the formalism of arXiv:2405.05899, and includes deformations of the PCM by functions of both the stress tensor and higher-spin conserved currents. We show in detail that every model in this class admits a Lax representation for its equations of motion, and that the Poisson bracket of the Lax connection takes the Maillet form, establishing the existence of an infinite set of Poisson-commuting conserved charges. We argue that the non-Abelian T-dual of any model in this family is classically integrable, and that T-duality "commutes" with a general deformation in this class, in a sense which we make precise. Finally, we demonstrate that these higher-spin auxiliary field deformations can be extended to accommodate the addition of a Wess-Zumino term, and we exhibit the Lax connection in this case. Comment: 111 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.16338 |
| رقم الأكسشن: | edsarx.2407.16338 |
| قاعدة البيانات: | arXiv |
كن أول من يترك تعليقا!