The N=1 superconformal index for class S fixed points

作者：Beem Christopher^*; Gadde Abhijit

来源：The Journal of High Energy Physics, 2014, 2014(4): 036.

DOI：10.1007/JHEP04(2014)036

• Supersymmetric gauge theory
• Supersymmetry and Duality
• Duality in Gauge Field Theories

We investigate the superconformal index of four-dimensional superconformal field theories that arise on coincident M5 branes wrapping a holomorphic curve in a local Calabi-Yau three-fold. The structure of the index is very similar to that which appears in the special case preserving N = 2 supersymmetry. We first compute the index for the fixed points that admit a known four-dimensional ultraviolet description and prove infrared equivalence at the level of the index for all such constructions. These results suggest a formulation of the index as a two-dimensional topological quantum field theory that generalizes the one that computes the N = 2 index. The TQFT structure leads to an expression for the index of a much larger family of N = 1 class S fixed points in terms of the index of the N = 2 theories. Calculations of simple quantities with the index suggests a connection between these families of fixed points and the mathematics of SU(2) Yang-Mills theory on the wrapped curve.

• 出版日期2014-4-7