تقرير
Density and unitarity of the Burau representation from a non-semisimple TQFT
| العنوان: | Density and unitarity of the Burau representation from a non-semisimple TQFT |
|---|---|
| المؤلفون: | Geer, Nathan, Lauda, Aaron D., Patureau-Mirand, Bertrand, Sussan, Joshua |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Quantum Physics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Quantum Algebra, Mathematics - Representation Theory, Quantum Physics, 81R50, 57R56, 22D10, 46N50 |
| الوصف: | We study the density of the Burau representation from the perspective of a non-semisimple TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form on the Burau representation with possibly mixed signature. We prove that the image of the braid group in the space of possibly indefinite unitary representations is dense. We also argue for the potential applications of non-semisimple TQFTs toward topological quantum computation. Comment: 27 pages, 4 fgures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.13242 |
| رقم الأكسشن: | edsarx.2402.13242 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |