Authors: Matthew Buican Takahiro Nishinaka
Publish Date: 2016/02/24
Volume: 2016, Issue: 2, Pages: 159-
Abstract
We conjecture closedform expressions for the Macdonald limits of the superconformal indices of the A 1 A 2n − 3 and A 1 D 2n ArgyresDouglas AD theories in terms of certain simple deformations of Macdonald polynomials As checks of our conjectures we demonstrate compatibility with two Sdualities we show symmetry enhancement for special values of n and we argue that our expressions encode a nontrivial set of renormalization group flows Moreover we demonstrate that for certain values of n our conjectures imply simple operator relations involving composites built out of the SU2 R currents and flavor symmetry moment maps and we find a consistent picture in which these relations give rise to certain null states in the corresponding chiral algebras In addition we show that the HallLittlewood limits of our indices are equivalent to the corresponding Higgs branch Hilbert series We explain this fact by considering the S 1 reductions of our theories and showing that the equivalence follows from an inequality on monopole quantum numbers whose coefficients are fixed by data of the fourdimensional parent theories Finally we comment on the implications of our work for more general mathcalN=2 superconformal field theoriesThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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