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 …

We study the nature of the phase diagram of three-dimensional lattice models in the
presence of non-Abelian gauge symmetries. In particular, we consider a paradigmatic model …

We study the effects of gauge-symmetry breaking (GSB) perturbations in three-dimensional
lattice gauge theories with scalar fields. We study this issue at transitions in which gauge …

We study perturbations that break gauge symmetries in lattice gauge theories. As a
paradigmatic model, we consider the three-dimensional Abelian-Higgs (AH) model with an …

Topological field theories emerge at low energy in strongly correlated condensed matter
systems and appear in the context of planar gravity. In particular, the study of Chern-Simons …

This chapter begins with a primer on composite fermions, and then reviews three directions
that have recently been pursued. It reports on theoretical calculations making detailed …

We study the role that global and local non-Abelian symmetries play in two-dimensional
(2D) lattice gauge theories with multicomponent scalar fields. We start from a maximally O …

The recent proposal of non-Abelian boson-fermion dualities in 2+ 1 dimensions, which
morally relate U (k) N to SU (N)− k Chern-Simons-matter theories, presents a new platform …

We study the stability of the Wilson-Fisher fixed point of the quantum O (2 N) vector model to
quenched disorder in the large-N limit. While a random mass is strongly relevant at the …

We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a
lattice compact U (1) gauge theory coupled with an N-component complex scalar field …