Four dimensional superconformal theories from M5 branes

Abstract

We study N=1 superconformal theories in four dimensions obtained wrapping M5 branes on a Riemann surface. We propose a method to determine from the spectral curve the scaling dimension of chiral operators in the SCFT. Whenever the R-symmetry has to be determined via a-maximization, our procedure allows us to determine the charge of chiral operators under the "trial" R-symmetry. Our proposal reduces to the correct prescription in the special case of N=2 theories of class S. We perform several consistency checks and apply our method to study some new SCFT's such as N=1 deformations of Argyres-Douglas theories.

arXiv comment29 pages, 6 figures. References and clarifications added. Version published in JHEP

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• Charting Class ${\mathcal{S}}_k$ Territory
• A slow review of the AGT correspondence
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• A search for minimal 4d N=1 SCFT
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• $\mathcal{N}=1$ Curves on Generalized Coulomb Branches
• Strongly-interacting massive particle and dark photon in the era of intensity frontier