We give a pedagogical introduction to the study of supersymmetric partition functions of 3D
𝒩= 2 supersymmetric Chern–Simons-matter theories (with an R-symmetry) on half-BPS …

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 We study 3d\(\mathcal {N}= 2\) supersymmetric gauge theories on closed oriented
Seifert manifolds—circle bundles over an orbifold Riemann surface—, with a gauge group G …

In this review, we give a pedagogical introduction to a systematic framework for constructing
and analyzing supersymmetric field theories on curved spacetime manifolds. The framework …

We study supersymmetric gauge theories on a squashed 3-sphere and. Recent studies
have shown that the partition functions in a class of theories have factorized forms in terms of …

A bstract We study the partition function of the three-dimensional\(\mathcal {N}\)= 6 U (N) k×
U (N+ M)− k superconformal Chern-Simons matter theory known as the ABJ theory. We …

We investigate S 3/Z n partition function of three-dimensional N= 2 supersymmetric field
theories. In a gauge theory the partition function is the sum of the contributions of sectors …

A bstract We construct three-dimensional\(\mathcal {N}\)= 2 supersymmetric field theories on
conic spaces. Built upon the fact that the partition function depends solely on the Reeb …

In supersymmetric (SUSY) field theory, there exist configurations that formally satisfy SUSY
conditions but are not on the original path integral contour. We refer to such configurations …

A bstract We study super Yang-Mills theories on five-dimensional Sasaki-Einstein manifolds.
Using localisation techniques, we find that the contribution from the vector multiplet to the …