A review of the relation between Chern-Simons gauge theory and topological string theory
on noncompact Calabi-Yau spaces is given. This relation has made it possible to give an …

We conjecture an expression for the Liouville theory conformal blocks and correlation
functions on a Riemann surface of genus g and n punctures as the Nekrasov partition …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

We define a refined topological vertex which depends in addition on a parameter, which
physically corresponds to extending the self-dual graviphoton field strength to a more …

We consider the topological B-model on local Calabi-Yau geometries. We show how one
can solve for the amplitudes by using-algebra symmetries which encode the symmetries of …

To every 3-manifold M one can associate a two-dimensional N=(2, 2) supersymmetric field
theory by compactifying five-dimensional N= 2 super-Yang–Mills theory on M. This system …

A simple relationship of the form ZBH=| Z top| 2 is conjectured, where ZBH is a
supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau …

We revisit the correspondence between Calabi-Yau (CY) threefold isolated singularities
$\mathbf {X} $ and five-dimensional superconformal field theories (SCFTs), which arise at …

M2 branes suspended between adjacent parallel M5 branes lead to light strings, the 'M-
strings'. In this paper we compute the elliptic genus of M-strings, twisted by maximally …

We study macroscopically two dimensional N=(2, 2) N=(2, 2) supersymmetric gauge
theories constructed by compactifying the quiver gauge theories with eight supercharges on …