A bstract We study the phases of the SU (N 1)× SU (N 2) gauge theory with a bifundamental
fermion in 3+ 1 dimensions. We show that the discrete anomalies and Berry phases …

A bstract We consider 3d\(\mathcal {N}\)= 2 gauge theories with fundamental matter plus a
single field in a rank-2 representation. Using iteratively a process of “deconfinement” of the …

A bstract Seiberg-like dualities in 2+ 1d quiver gauge theories with 4 supercharges are
investigated. We consider quivers made of various combinations of classical gauge groups …

A bstract 4d\(\mathcal {N}\)= 1 super Yang-Mills (SYM) with simply connected gauge group
G has h gapped vacua arising from the spontaneously broken discrete R-symmetry, where h …

We study multiplicities and junctions of BPS domain walls interpolating between different
chiral vacua in $\mathcal {N}= 1$ supersymmetric QCD (SQCD) with the SU $(N) $ gauge …

A bstract We study “vacuum crossing”, which occurs when the vacua of a theory are
exchanged as we vary some periodic parameter θ in a closed loop. We show that vacuum …

A bstract We propose that a simple, Lagrangian 2d\(\mathcal {N}\)=(0, 2) duality interface
between the 3d\(\mathcal {N}\)= 2 XYZ model and 3d\(\mathcal {N}\)= 2 SQED can be …

We study the infrared phases of $\mathcal {N}\,=\, 1$ QCD $ _3 $ with gauge group $ SU
(N_c) $ and with the superpotential containing the mass term and the baryon operator. We …

The purpose of this thesis is to establish some non-perturbative results in gauge theories in
d<= 4 spacetime dimensions. We generically refer to such theories as Quantum …

Abstract 4d N= 1 super Yang-Mills (SYM) with simply connected gauge group G has h
gapped vacua arising from the spontaneously broken discrete R-symmetry, where h is the …