This is an introductory review to localization techniques in supersymmetric two-dimensional
gauge theories. In particular, we describe how to construct Lagrangians of $\newcommand …

A bstract We study a correspondence between 3d\(\mathcal {N}\)= 2 topologically twisted
Chern-Simons-matter theories on S 1× Σg and quantum K-theory of Grassmannians. Our …

We propose a formula for the exact central charge of a B-type D-brane that is expected to
hold in all regions of the Kähler moduli space of a Calabi–Yau. For Landau–Ginzburg …

Motivated in part by the modular properties of enumerative invariants of K3-fibered Calabi-
Yau threefolds, we introduce a family of 39 Calabi-Yau mirror pairs $(X, Y) $ with $ h_ {1 …

A bstract The Hori-Tong and Hori dualities are infrared dualities between two-dimensional
gauge theories with\(\mathcal {N}\)=(2, 2) supersymmetry, which are reminiscent of four …

Applying advances in exact computations of supersymmetric gauge theories, we study the
structure of correlation functions in two-dimensional N=(2, 2) Abelian and non-Abelian …

We propose Picard-Fuchs equations for periods of nonabelian mirrors in this paper. The
number of parameters in our Picard-Fuchs equations is the rank of the gauge group of the …

The sphere partition function of Calabi–Yau gauged linear sigma models (GLSMs) has been
shown to compute the exact Kähler potential of the Kähler moduli space of a Calabi–Yau …

We prove an equality, predicted in the physical literature, between the Jeffrey–Kirwan
residues of certain explicit meromorphic forms attached to a quiver without loops or oriented …

A bstract We study the Janus interface, a domain wall characterized by spatially varying
couplings, in two-dimensional\(\mathcal {N}\)=(2, 2) supersymmetric gauge theories on the …