Twisted Hilbert spaces of 3d supersymmetric gauge theories
Twisted Hilbert spaces of 3d supersymmetric gauge theories
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3d 超对称规范理论的扭曲希尔伯特空间
DOI：
10.1007/jhep08(2018)018
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发表时间：
2018
影响因子：
5.4
通讯作者：
Andrea E. V. Ferrari
中科院分区：
文献类型：
--
作者：
Mathew Bullimore;Andrea E. V. Ferrari
本文研究了直线与黎曼面乘积上的3d N=2$$ \mathcal{N}=2 $$超对称规范理论。沿着黎曼曲面进行沿着拓扑扭曲，就可以得到一个有效的超对称量子力学。本文利用黎曼曲面上的广义涡旋模空间的上同调，将超对称基态空间构造为分次向量空间。这表现出丰富的依赖变形参数兼容的拓扑扭曲，包括超势，真实的质量参数，和背景矢量束味对称性。通过匹配超对称基态的空间，我们对3d阿贝尔镜像对称性进行了新的检验。
A bstractWe study aspects of 3d N=2$$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line. We propose a construction of the space of supersymmetric ground states as a graded vector space in terms of a certain cohomology of generalized vortex moduli spaces on the Riemann surface. This exhibits a rich dependence on deformation parameters compatible with the topological twist, including superpotentials, real mass parameters, and background vector bundles associated to flavour symmetries. By matching spaces of supersymmetric ground states, we perform new checks of 3d abelian mirror symmetry.
影响因子：
5.4
作者：
M. Aaboud;G. Aad;B. Abbott;O. Abdinov;Baptiste Abeloos;S. H. Abidi;O. AbouZeid;N. Abraham;
通讯作者：
M. Aaboud;G. Aad;B. Abbott;O. Abdinov;Baptiste Abeloos;S. H. Abidi;O. AbouZeid;N. Abraham;