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 The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is
the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds. We …

A bstract In this paper, we discuss lumps (sigma model instantons) in flag manifold sigma
models. In particular, we focus on the moduli space of BPS lumps in general Kähler flag …

We derive non-Abelian localization formulas for supersymmetric Yang-Mills-Chern-Simons
theory with matters on a Seifert manifold M, which is the three-dimensional space of a circle …

A bstract We investigate the correspondence between two dimensional topological gauge
theories and quantum integrable systems discovered by Moore, Nekrasov, Shatashvili. This …

A bstract The vortex partition function in 2d\(\mathcal {N}\)=(2, 2) U (N) gauge theory is
derived from the field theoretical point of view by using the moduli matrix approach. The …

A bstract We investigate the G/G gauged Wess-Zumino-Witten model on a Riemann surface
from the point of view of the algebraic Bethe Ansatz for the phase model. After localization …

A bstract We exactly evaluate the partition function (index) of\(\mathcal {N}\)= 4
supersymmetric quiver quantum mechanics in the Higgs phase by using the localization …

We study a supersymmetric partition function of topological vortices in 3d N= 4, 3 gauge
theories on R^ 2 x S^ 1, and use it to explore Seiberg-like dualities with Fayet-Iliopoulos …

A bstract We provide evidence for conjectural dualities between nonrelativistic Chern-
Simons-matter theories and theories of (fractional, nonAbelian) quantum Hall fluids in 2+ 1 …