期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2014)036
关键词
Supersymmetric gauge theory; Supersymmetry and Duality; Duality in Gauge Field Theories
资金
- NSF [1066293]
- DOE [DE-FG02-92ER-40697, DE-FG02-92-ER40701]
- John A. McCone fellowship
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.
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