Work

Argyres-Douglas theories, Macdonald indices and the arc space of Zhu’s C2-algebra

Year: 2026

Type: article

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’s C 2 -algebra of the corresponding Schur VOA . Using this, we conjecture a simple formula for the Macdonald index of ( A 1 , D 2 n + 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.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2026.117699

Authors: George Andrews, Anindya Banerjee, Chinmaya Bhargava, Ranveer Kumar Singh, Runkai Tao

Institutions: Pennsylvania State University, University of Cincinnati, Queen Mary University of London, Rutgers, The State University of New Jersey

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: U.S. Department of Energy, Queen Mary University of London

Awards: G3883943580, G5861921277