Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra
Abstract
In this paper, we relate the MacDonald index of a 4d N=2 SCFT with the Hilbert series of the arc space of the Zhu algebra of the corresponding Schur VOA. Using this, we conjecture a simple formula for the MacDonald index of (A1,D2n+1) Argyres-Douglas theory. We perform checks of the formula against the known Schur limits and RG flows. To match the Schur limit, we prove new q-series identities.
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