In these lectures, I give a pedagogical presentation of some of the recent progress in
supersymmetric Chern–Simons-matter theories, coming from the use of localization and …

In this review article we describe the localization of three dimensional= 2 N supersymmetric
theories on compact manifolds, including the squashed sphere, Sb 3, the lens space, Sb p …

We study the index of $\mathcal {N}= 4$ Yang-Mills theory on $ S^ 3\times\mathbb {R} $ at
large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large $ N …

A bstract The three sphere partition function, Z, of three dimensional theories with four
supercharges and an R-symmetry is computed using localization, resulting in a matrix …

We present a uniform treatment of rigid supersymmetric field theories in a curved
spacetime\(\mathcal {M}\), focusing on four-dimensional theories with four supercharges …

Abstract We study Euclidean 3D\(\mathcal {N}= 2\) supersymmetric gauge theories on
squashed three-spheres preserving isometries SU (2)× U (1) or U (1)× U (1). We show that …

We extend theformulaforpartitionfunctions of\(\mathcal {N}= 2\) superconformalgauge
theories on S 3 obtained recently by Kapustin, Willett and Yaakov, to incorporate matter …

The partition function of N= 6 supersymmetric Chern–Simons-matter theory (known as ABJM
theory) on S^ 3, as well as certain Wilson loop observables, are captured by a zero …

A bstract Many examples of low-energy dualities have been found in supersymmetric gauge
theories with four supercharges, both in four and in three space-time dimensions. In these …

The partition function on the 3-sphere of many supersymmetric Chern–Simons-matter
theories reduces, by localization, to a matrix model. We develop a new method to study …