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.
Highlights
N = 2 class S theories are included in a larger class of theories with N = 1 supersymmetry associated to compactifications of the (2, 0) theory [5]
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 fourdimensional UV descriptions of the SCFTs corresponding to curves with a class of punctures
Summary
N = 2 class S theories are included in a larger class of theories with N = 1 supersymmetry associated to compactifications of the (2, 0) theory [5] This latter class, which we will call N = 1 class S, has been investigated in [5,6,7,8,9,10,11,12] in field theory and in [5, 7, 13, 14] in AdS/CFT (see [15, 16] for the mass deformed N = 2 class S theories).
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