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 We compute exactly the partition function of two dimensional\(\mathcal {N}\)=(2, 2)
gauge theories on S 2 and show that it admits two dual descriptions: either as an integral …

A bstract We study the Nekrasov partition function of the five dimensional U (N) gauge theory
with maximal supersymmetry on ℝ 4× S 1 in the presence of codimension two defects. The …

We describe the moduli space of SU (N) instantons in the presence of a general surface
operator of type N= n 1+⋯+ n M in terms of the representations of the so-called chain-saw …

A bstract We explore the quantum algebraic formalism of the gauge origami system in ℂ 4,
where D2/D4/D6/D8-branes are present. We demonstrate that the contour integral formulas …

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 …

We present a new duality between the F-terms of supersymmetric field theories defined in
two-and four-dimensions respectively. The duality relates\(\mathcal {N}= 2\) super-symmetric …

We consider Seiberg electric-magnetic dualities for 4 d N= 1 N= 1 SYM theories with SO (N)
gauge group. For all such known theories we construct superconformal indices (SCIs) in …

A bstract We show that the vortex moduli space in non-abelian supersymmetric\(\mathcal
{N}=\left ({{2},{2}}\right)\) gauge theories on the two dimensional plane with adjoint and anti …

We study three dimensional N= 2 supersymmetric Chern-Simons-Matter theories on the
direct product of circle and two dimensional hemisphere (S1× D2) with specified boundary …