Exact results in D=2 supersymmetric gauge theories
Exact results in D=2 supersymmetric gauge theories
复制标题
DOI：
10.1007/jhep05(2013)093
复制
发表时间：
2013-05-01
影响因子：
5.4
通讯作者：
Lee, Sungjay
中科院分区：
文献类型：
--
作者：
Doroud, Nima;Gomis, Jaume;Lee, Sungjay
我们精确计算了S-2上二维N =（2; 2）规范理论的配分函数，并证明了它有两种对偶描述：要么是库仑分支上的积分，要么是Higgs分支上的涡旋和反涡旋激发的和.我们进一步证明了二维Liouville/户田CFT中的关联函数计算了一类N =（2; 2）规范理论的S-2配分函数，从而揭示了二维规范理论中新颖的模性质.这些规范理论中的一些在红外流到卡-丘sigma模型-如锥-和拓扑变化的翻转过渡实现为刘维/户田CFT交叉对称。证明了在二维空间中的Seiberg对偶的配分函数是相同的。
We compute exactly the partition function of two dimensional N = (2; 2) gauge theories on S-2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory. We further demonstrate that correlation functions in two dimensional Liouville/Toda CFT compute the S-2 partition function for a class of N = (2; 2) gauge theories, thereby uncovering novel modular properties in two dimensional gauge theories. Some of these gauge theories flow in the infrared to Calabi-Yau sigma models - such as the conifold - and the topology changing flop transition is realized as crossing symmetry in Liouville/Toda CFT. Evidence for Seiberg duality in two dimensions is exhibited by demonstrating that the partition function of conjectured Seiberg dual pairs are the same.