Macdonald indices for four-dimensional N=3 theories

Le résumé fourni par la source

We brute-force evaluate the vacuum character for $\mathcal{N}=2$ vertex operator algebras labeled by crystallographic complex reflection groups $G(k,1,1)={\mathbb{Z}}_{k}$, $k=3$, 4, 6, and $G(3,1,2)$. For ${\mathbb{Z}}_{3,4}$ 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 $\mathcal{N}=3$ theories in four dimensions. For the ${\mathbb{Z}}_{3}$ case, and in the limit where the Macdonald index reduces to the Schur index, we find agreement with predictions from the literature.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.