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

Abstract

Abstract It is argued that 4d SU(N) $$ \mathcal{N} $$ 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 $$ {\mathbb{Z}}_N^{(1)} $$ 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.