Abstract
We study the superconformal indices of 4d theories coming from 6d \( \mathcal{N} \) = (2, 0) theory of type Γ on a Riemann surface, with the action of the outer-automorphism σ in 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 Γ fixed 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.
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ArXiv ePrint: 1212.0545
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Mekareeya, N., Song, J. & Tachikawa, Y. 2d TQFT structure of the superconformal indices with outer-automorphism twists. J. High Energ. Phys. 2013, 171 (2013). https://doi.org/10.1007/JHEP03(2013)171
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DOI: https://doi.org/10.1007/JHEP03(2013)171