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arXiv · 2111.14942

Quantum Phases of $4d$ $SU(N)$ $\mathcal{N}=4$ SYM

Alejandro Cabo-Bizet
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Abstract

It is argued that $4d$ $SU(N)$ $\mathcal{N}=4$ SYM has an accumulation line of zero-temperature topologically ordered phases. Each of these phases corresponds to $N$ bound states charged under electromagnetic $\mathbb{Z}^{(1)}_N$ one-form symmetries. Each of the $N$ bound states is made of two Dyonic flux components each of them extended over a two dimensional surface. They are localized at the fixed loci of a rotational action, and are argued to correspond to conformal blocks (or primaries) of an $SU(N)_1$ WZNW model on a two-torus.

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Alejandro Cabo-Bizet. 2021-11-29. Quantum Phases of $4d$ $SU(N)$ $\mathcal{N}=4$ SYM. https://doi.org/10.1007/jhep10(2022)052

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