تقرير
Solutions of the tt*-equations constructed from the SU(2)$_k$-fusion ring, and Smyth potentials
| العنوان: | Solutions of the tt*-equations constructed from the SU(2)$_k$-fusion ring, and Smyth potentials |
|---|---|
| المؤلفون: | Udagawa, Tadashi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory, Mathematics - Differential Geometry, 53Z05, 17B80 |
| الوصف: | Cecotti and Vafa introduced the tt*-equation (topological-antitopological fusion equation), whose solutions describe massive deformations of supersymmetric conformal field theories. We describe some solutions of the tt*-equation constructed from the SU(2)$_k$-fusion algebra. The idea of the construction is due to Cecotti and Vafa, but we give a precise mathematical formulation and a description of the "holomorphic data" corresponding to the solutions by using the DPW method. Furthermore, we give a relation between the solutions and the representations of SU(2). As a special case, we consider the solutions corresponding to the supersymmetric A$_k$-minimal model. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.02353 |
| رقم الأكسشن: | edsarx.2311.02353 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |