2d TQFT structure of the superconformal indices with outer-automorphism twists

Abstract

We study the superconformal indices of 4d theories coming from 6d N=(2,0) theory of type Γon a Riemann surface, with the action of the outer-automorphism σin the trace. We find that the indices are given by the partition function of a deformed 2d Yang-Mills on the Riemann surface with gauge group G which is S-dual to the subgroup of Γfixed by σ. In the 2-parameter deformed version, we find that it is governed not by Macdonald polynomials of type G, but by Macdonald polynomials associated to twisted affine root systems.

33 pages, 1 figure

References in corpus (11)

• Counting Gauge Invariants: the Plethystic Program
• S-duality in N=2 supersymmetric gauge theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Tinkertoys for Gaiotto Duality
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• The Superconformal Index of Class S Theories of Type D
• 5D SYM and 2D q-Deformed YM
• 5D SYM on 3D Sphere and 2D YM
• N=2 S-duality via Outer-automorphism Twists
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• 4d partition function on S^1 x S^3 and 2d Yang-Mills with nonzero area

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