arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0904.1744hep-th
收藏

阿贝尔规范理论中的曲面算子

Surface Operators in Abelian Gauge Theory

Meng-Chwan Tan

摘要:

我们考虑自旋(非自旋)四维流形上纯的非超对称阿贝尔规范理论中表面算符的任意嵌入。对于任何表面操作的先验同时非零参数,我们明确表明,参数自然变换下SL(2,Z)(或同余子群)的对偶理论。然而,对于非平凡嵌入的表面算子,只有当量子参数有效地为零时,精确的S-对偶才成立,而整个SL(2,Z)(或其同余子群)对偶最多只成立一个c-数。通过对偶墙的形式主义,我们提供了一个替代的推导参数的转换-发现也是一致的开关从威尔逊到t Hooft循环运营商下的S-对偶。在曲面算子的任意背景嵌入下,在任意弯曲四维流形上的非奇异、规范不变的局部算子的配分函数和关联函数在相应的对偶群下变换为模形式.

英文摘要:

We consider arbitrary embeddings of surface operators in a pure, non-supersymmetric abelian gauge theory on spin (non-spin) four-manifolds. For any surface operator with a priori simultaneously non-vanishing parameters, we explicitly show that the parameters transform naturally under an SL(2, Z) (or a congruence subgroup thereof) duality of the theory. However, for non-trivially-embedded surface operators, exact S-duality holds only if the quantum parameter effectively vanishes, while the overall SL(2, Z) (or a congruence subgroup thereof) duality holds up to a c-number at most, regardless. Via the formalism of duality walls, we furnish an alternative derivation of the transformation of parameters - found also to be consistent with a switch from Wilson to 't Hooft loop operators under S-duality. With any background embedding of surface operators, the partition function and the correlation functions of non-singular, gauge-invariant local operators on any curved four-manifold, are found to transform like modular forms under the respective duality groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑