تقرير
When Does A Three-Dimensional Chern-Simons-Witten Theory Have A Time Reversal Symmetry?
| العنوان: | When Does A Three-Dimensional Chern-Simons-Witten Theory Have A Time Reversal Symmetry? |
|---|---|
| المؤلفون: | Geiko, Roman, Moore, Gregory W. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, Mathematical Physics |
| الوصف: | In this paper, we completely characterize time-reversal invariant three-dimensional Chern-Simons gauge theories with torus gauge group. At the level of the Lagrangian, toral Chern-Simons theory is defined by an integral lattice, while at the quantum level, it is entirely determined by a quadratic function on a finite Abelian group and an integer mod 24. We find that quantum time-reversally symmetric theories can be defined by classical Lagrangians defined by integral lattices which have self-perpendicular embeddings into a unimodular lattice. We find that the quantum toral Chern-Simons theory admits a time-reversal symmetry iff the higher Gauss sums of the associated modular tensor category are real. We conjecture that the reality of the higher Gauss sums is necessary and sufficient for a general non-Abelian Chern-Simons to admit quantum T-symmetry. Comment: Important revisions and new material |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2209.04519 |
| رقم الأكسشن: | edsarx.2209.04519 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |