تقرير
The Non-Abelian Self-Dual String and the (2,0)-Theory
| العنوان: | The Non-Abelian Self-Dual String and the (2,0)-Theory |
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| المؤلفون: | Saemann, Christian, Schmidt, Lennart |
| المصدر: | Lett. Math. Phys. 110 (2020) 1001-1042 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Mathematics - Differential Geometry |
| الوصف: | We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying geometric picture is a string structure, i.e. a categorified principal bundle with connection whose structure 2-group is the string 2-group. We readily write down the explicit elementary solution to our equations, which is the categorified analogue of the 't Hooft-Polyakov monopole. Our solution passes all the relevant consistency checks; in particular, it is globally defined on $\mathbb{R}^4$ and approaches the abelian self-dual string of charge one at infinity. We note that our equations also arise as the BPS equations in a recently proposed six-dimensional superconformal field theory and we show that with our choice of higher gauge structure, the action of this theory can be reduced to four-dimensional supersymmetric Yang-Mills theory. Comment: v3: 1+42 pages, presentation improved, typos fixed, published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s11005-019-01250-3 |
| URL الوصول: | http://arxiv.org/abs/1705.02353 |
| رقم الأكسشن: | edsarx.1705.02353 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s11005-019-01250-3 |
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