Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

Duality refers to two equivalent descriptions of the same theory from different points of view.
Recently there has been tremendous progress in formulating and understanding possible …

Motivated by the recent experimental breakthroughs in observing fractional quantum
anomalous Hall (FQAH) states in moiré materials, we propose and study various …

Motivated by the higher Chern bands of twisted graphene multilayers, we consider flat
bands with arbitrary Chern number C with ideal quantum geometry. While C> 1 bands differ …

The Landau-Ginzburg-Wilson theory of phase transitions precludes a continuous transition
between two phases that spontaneously break distinct symmetries. However, quantum …

Motivated by the recent experimental breakthrough on the observation of the fractional
quantum anomalous Hall (FQAH) effects in semiconductor and graphene moiré materials …

A bstract A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a U (1)
symmetry living on a boundary. This coupling gives rise to a continuous family of boundary …

Fractal Hofstadter bands have become widely accessible with the advent of moiré
superlattices, opening the door to studies of the effect of interactions in these systems. In this …

We study mean-field states resulting from the pairing of electrons in time-reversal broken
fractal Hofstadter bands, which arise in two-dimensional lattices where the unit cell traps …

Common wisdom about conventional antiferromagnets is that their low-energy physics is
governed by spin–wave excitations. However, recent experiments on several cuprate …