Building on earlier work in the high energy and condensed matter communities, we present
a web of dualities in 2+ 1 dimensions that generalize the known particle/vortex duality. Some …

We show how particle-vortex duality in d= 2+ 1 dimensions arises as part of an intricate web
of relationships between different field theories. The starting point is “bosonization,” a …

A bstract We discuss in detail level/rank duality in three-dimensional Chern-Simons theories
and various related dualities in three-dimensional Chern-Simons-matter theories. We couple …

A bstract There is significant evidence for a duality between (non-supersymmetric) U (N)
Chern-Simons theories at level k coupled to fermions, and U (k) Chern-Simons theories at …

A bstract We propose matching pairs of half-BPS boundary conditions related by IR dualities
of 3d\(\mathcal {N}= 2\) gauge theories. From these matching pairs we construct duality …

A bstract In the last few years several dualities were found between the low-energy
behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars …

In these lectures we give an overview of the duality between gravitational theories of
massless higher spin fields in AdS and large N vector models. We first review the original …

Continuous quantum phase transitions beyond the conventional paradigm of fluctuations of
a symmetry-breaking order parameter are challenging for theory. These phase transitions …

We study four-dimensional adjoint QCD with gauge group SU (2) and two Weyl fermion
flavors, which has an $ SU (2) _R $ chiral symmetry. The infrared behavior of this theory is …

We study bosonization in 2+ 1 dimensions using mirror symmetry, a duality that relates pairs
of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we …