تقرير
Three-Dimensional Spin TFTs from Gauging Line Defects
| العنوان: | Three-Dimensional Spin TFTs from Gauging Line Defects |
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| المؤلفون: | Gröne, Jannik, Runkel, Ingo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, High Energy Physics - Theory, Mathematics - Quantum Algebra |
| الوصف: | From the input of an oriented three-dimensional TFT with framed line defects and a commutative $\Delta$-separable Frobenius algebra $A$ in the ribbon category of these line defects, we construct a three-dimensional spin TFT. The framed line defects of the spin TFT are labelled by certain equivariant modules over $A$, and the spin structure may or may not extend to a given line defect. Physically the spin TFT can be interpreted as the result of gauging a one-form symmetry in the original oriented TFT. This spin TFT extends earlier constructions in Blanchet-Masbaum (1996) and Blanchet (2005) [arXiv:math/0303240], and it reproduces the classification of abelian spin Chern-Simons theories in Belov-Moore (2005) [arXiv:hep-th/0505235]. Comment: 58 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.17336 |
| رقم الأكسشن: | edsarx.2406.17336 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |