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The N=1 superconformal index for class S fixed points

Beem, Christopher and Gadde, Abhijit (2014) The N=1 superconformal index for class S fixed points. Journal of High Energy Physics, 2014 (4). Art. No. 036. ISSN 1126-6708. doi:10.1007/JHEP04(2014)036.

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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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Alternate Title:The superconformal index of N=1 class S fixed points
Additional Information:© 2014 The Authors. Published for SISSA by Springer. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 5, 2014; Accepted: March 17, 2014; Published: April 7, 2014. It is a pleasure to thank Nikolay Bobev, Leonardo Rastelli, Shlomo Razamat, A. J. Tolland, and Wenbin Yan for numerous helpful discussions. The authors gratefully acknowledge the hospitality of the Aspen Center for Physics at the start of this work. The Aspen Center for Physics is partially supported by the NSF under Grant No. 1066293. The work of CB is supported in part by DOE grant DE-FG02-92ER-40697. The work of AG is supported in part by the John A. McCone fellowship and by DOE grant DE-FG02-92-ER40701.
Group:Caltech Theory
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Department of Energy (DOE)DE-FG02-92ER-40697
John A. McCone FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-92-ER40701
Issue or Number:4
Record Number:CaltechAUTHORS:20140603-094259782
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46043
Deposited By: Tony Diaz
Deposited On:03 Jun 2014 17:04
Last Modified:10 Nov 2021 17:19

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