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- W3105272502 abstract "We conjecture closed-form expressions for the Macdonald limits of the super-conformal indices of the (A 1 , A 2n − 3) and (A 1 , D 2n ) Argyres-Douglas (AD) theories in terms of certain simple deformations of Macdonald polynomials. As checks of our conjectures, we demonstrate compatibility with two S-dualities, we show symmetry enhancement for special values of n, and we argue that our expressions encode a non-trivial 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 SU(2) 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 Hall-Littlewood 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 four-dimensional parent theories. Finally, we comment on the implications of our work for more general $$ mathcal{N}=2 $$ superconformal field theories." @default.
- W3105272502 created "2020-11-23" @default.
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- W3105272502 date "2016-02-01" @default.
- W3105272502 modified "2023-09-26" @default.
- W3105272502 title "Argyres-Douglas theories, the Macdonald index, and an RG inequality" @default.
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- W3105272502 doi "https://doi.org/10.1007/jhep02(2016)159" @default.
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