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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 propose a dictionary between geometry of triangulated 3-manifolds and physics of three-
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …

We study the N= 2 four-dimensional superconformal index in various interesting limits, such
that only states annihilated by more than one supercharge contribute. Extrapolating from the …

We apply localization techniques to compute the partition function of a two-dimensional
N=(2, 2) N=(2, 2) R-symmetric theory of vector and chiral multiplets on S 2. The path integral …

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 …

A bstract We decompose sphere partition functions and indices of three-
dimensional\(\mathcal {N}\)= 2 gauge theories into a sum of products involving a universal …

We study Seiberg-like dualities in three dimensional\(\mathcal {N}= 2\) supersymmetric
theories, emphasizing Chern-Simons terms for the global symmetry group, which affect …

A bstract We consider supersymmetric field theories on compact manifolds\(\mathcal {M}\)
and obtain constraints on the parameter dependence of their partition functions\({Z …

A bstract Partition functions of\(\mathcal {N}= 2\) theories on the squashed 3-sphere have
been recently shown to localise to matrix integrals. By explicitly evaluating the matrix integral …