تقرير
First-order formalism for $\beta$ functions in bosonic sigma models from supersymmetry breaking
| العنوان: | First-order formalism for $\beta$ functions in bosonic sigma models from supersymmetry breaking |
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| المؤلفون: | Gamayun, Oleksandr, Losev, Andrei, Shifman, Mikhail |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics, Mathematical Physics |
| الوصف: | We consider the renormalization group flow equation for the two-dimensional sigma models with the K\"ahler target space. The first-order formulation allows us to treat perturbations in these models as current-current deformations. We demonstrate, however, that the conventional first-order formalism misses certain anomalies in the measure, and should be amended. We reconcile beta functions obtained within the conformal perturbation theory for the current-current deformations with traditional ``geometric" results obtained in the background field methods, in this way resolving the peculiarities pointed out in [JHEP10(2023)097]. The result is achieved by the supersymmetric completion of the first-order sigma model. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.01885 |
| رقم الأكسشن: | edsarx.2312.01885 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |