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  • Letter
  • Open Access

Macdonald indices for four-dimensional N=3 theories

Prarit Agarwal*, Enrico Andriolo†, Gergely Kántor‡, and Constantinos Papageorgakis§

  • CRST and School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom

  • *agarwalprarit@gmail.com
  • †e.andriolo@qmul.ac.uk
  • ‡g.kantor@qmul.ac.uk
  • §c.papageorgakis@qmul.ac.uk
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Phys. Rev. D 103, L121701 – Published 4 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L121701

Abstract

We brute-force evaluate the vacuum character for N=2 vertex operator algebras labeled by crystallographic complex reflection groups G(k,1,1)=Zk, k=3, 4, 6, and G(3,1,2). For Z3,4 and G(3,1,2) these vacuum characters have been conjectured to respectively reproduce the Macdonald limit of the superconformal index for rank one and rank two S-fold N=3 theories in four dimensions. For the Z3 case, and in the limit where the Macdonald index reduces to the Schur index, we find agreement with predictions from the literature.

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Phys. Rev. D 103, L121701– Published 4 June, 2021
  • Received 15 March 2021
  • Accepted 22 April 2021
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