Quiver Tails and N=1 SCFTs from M5-branes

Abstract

We study a class of four-dimensional N=1 superconformal field theories obtained by wrapping M5-branes on a Riemann surface with punctures. We identify UV descriptions of four-dimensional SCFTs corresponding to curves with a class of punctures. The quiver tails appearing in these UV descriptions differ significantly from their N=2 counterpart. We find a new type of object that we call the `Fan'. We show how to construct new N=1 superconformal theories using the Fan. Various dual descriptions for these SCFTs can be identified with different colored pair-of-pants decompositions. For example, we find an N=1 analog of Argyres-Seiberg duality for the SU(N) SQCD with 2N flavors. We also compute anomaly coefficients and superconformal indices for these theories and show that they are invariant under dualities.

40 pages + appendices, 32 figures; v2: minor corrections; v3: more corrections, improved figures and presentation. to appear in JHEP

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• M5-brane Sources, Holography, and Argyres-Douglas Theories
• A slow review of the AGT correspondence
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
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• Rank $Q$ E-String on Spheres with Flux
• Theories of Class S and New N=1 SCFTs
• A landscape of 4d N=1 SCFTs with a=c
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings