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

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 ${\mathbb{Z}}_N^{(1)}$ 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.

43pp. Improved version: A sharper explanation of the emergence of topological order given in the newly added section 2

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Cited by in corpus (5)

• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• Boundary Description of Microstates of the Two-Dimensional Black Hole
• Hawking-Page transition on a spin chain
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Off-shell phase diagram of BPS black holes in AdS${}_5$