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 …

In this chapter I discuss the impact of concepts of Quantum Field Theory in modern
Condensed Physics. Although the interplay between these two areas is certainly not new …

A long-standing problem in the study of topological phases of matter has been to understand
the types of fractional topological insulator (FTI) phases possible in 3+ 1 dimensions. Unlike …

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively
rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion …

Recently, two-dimensional Dirac materials patterned with a superlattice structure have
emerged as a rich platform for exploring correlated and topological quantum matter. In this …

Motivated by the appearance of a “reflection symmetry” in transport experiments and the
absence of statistical periodicity in relativistic quantum field theories, we propose a series of …

Quantum Hall inter-plateau transitions are physical exemplars of quantum phase transitions.
Near each of these transitions, the measured electrical conductivity scales with the same …

We consider a (2+ 1)-dimensional Wilson-Fisher boson coupled to a (3+ 1)-dimensional U
(1) gauge field. This theory possesses a strong-weak duality in terms of the coupling …

It is an important open problem to understand the landscape of non-Abelian fractional
quantum Hall phases which can be obtained starting from physically motivated theories of …

A bstract We provide a lattice demonstration of (2+ 1)-dimensional field theory dualities
relating free Dirac or Majorana fermions to strongly-interacting bosonic Chern-Simons …