It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …

Coupled-wire constructions use bosonization to analytically tackle the strong interactions
underlying fractional topological states of matter. We give an introduction to this technique …

Noncommutative geometry provides a powerful tool for regularizing quantum field theories
in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling …

In this contribution we study the Klein–Gordon oscillator on the curved background within
the Kaluza–Klein theory. The problem of the interaction between particles coupled …

Zhang and Hu have formulated an SU (2) quantum Hall system on the four-sphere, with
interesting three-dimensional boundary dynamics including gapless states of nonzero …

Two-dimensional Euler insulators are novel kinds of systems that host multigap topological
phases, quantified by a quantized first Euler number in their bulk. Recently, these phases …

We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions.
These spheres can be viewed as $ SO (5) $-equivariant projections of quantized coadjoint …

Modern condensed matter physics relies on the concept of topology to classify matter, from
quantum Hall systems to topological insulators. Engineered systems, benefiting from …

The sixteen papers collected in this volume are expanded and revised versions of talks
delivered at the Second International Conference on the Ontology of Spacetime, organized …

A bstract We present a 6D generalization of the fractional quantum Hall effect involving
membranes coupled to a three-form potential in the presence of a large background four …