Macdonald indices for four-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> theories
نویسندگان
چکیده
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 ${\mathbb{Z}}_{3,4}$ $G(3,1,2)$ these characters have been conjectured to respectively reproduce Macdonald limit of superconformal index rank one two S-fold $\mathcal{N}=3$ theories in four dimensions. ${\mathbb{Z}}_{3}$ case, where reduces Schur index, we find agreement with predictions from literature.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.103.l121701