Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu's $C_2$-Algebra

George Andrews, Anindya Banerjee, Chinmaya Bhargava +2

In this paper, we relate the MacDonald index of a 4d $\mathcal{N}=2$ SCFT with the Hilbert series of the arc space of the Zhu's $C_2$-algebra of the corresponding Schur VOA. Using…