We review recent developments (up to January 2004) of the Liouville field theory and its
matrix model dual. This review consists of two parts. In part I, we review the bosonic Liouville …

These lectures cover aspects of solitons with focus on applications to the quantum dynamics
of supersymmetric gauge theories and string theory. The lectures consist of four sections …

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

The double-scaled matrix integral has as its leading density of states the universal Cardy
density of primaries in a two-dimensional CFT, thus motivating the name Virasoro minimal …

A bstract We introduce several families of\(\mathcal {N}=\left (2,\2\right)\) UV boundary
conditions in 3d\(\mathcal {N}= 4\) gaugetheoriesandstudytheirIRimagesinsigma …

We propose a framework for solving the Einstein equation for static and Euclidean metrics.
First, we address the issue of gauge-fixing by borrowing from the Ricci-flow literature the so …

We give a worldsheet proof of the equivalence between the U (N) Chern–Simons gauge
theory on S3 and the topological closed string theory on the resolved conifold geometry …

We study the conjectured connection between AdS bubbles (AdS solitons) and closed string
tachyon condensations. We confirm that the entanglement entropy, which measures the …

We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied
from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we …

We study various aspects of Script N=(2, 2) supersymmetric non-Abelian gauge theories in
two dimensions, with applications to string vacua. We compute the Witten index of SU (k) …