A bstract We introduce a class of Vertex Operator Algebras which arise at junctions of
supersymmetric interfaces in\(\mathcal {N}\)= 4 Super Yang Mills gauge theory. These vertex …

We define an action of the (double of) Cohomological Hall algebra of Kontsevich and
Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We …

We define new deformable families of vertex operator algebras A g, Ψ, σ A g, Ψ, σ
associated to a large set of S-duality operations in four-dimensional supersymmetric gauge …

A bstract String theory on AdS 3 backgrounds arises as an IR limit of Little String Theory on
NS5-branes. A wide variety of holographic RG flows from the fivebrane theory in the UV to …

This is a review of irrational conformal field theory, which includes rational conformal field
theory as a small subspace. Central topics of the review include the Virasoro master …

A bstract We derive correspondences of correlation functions among dual conformal field
theories in two dimensions by develo** a “first order formulation” of coset models. We …

We investigate aspects of holographic duals to time-like warped AdS 3 space-times—which
include Gödel's universe—in string theory. Using worldsheet techniques similar to those that …

We consider loop observables in gauged Wess-Zumino-Witten models, and study the action
of renormalization group flows on them. In the WZW model based on a compact Lie group G …

A Lagrangian definition of a large family of (0, 2) supersymmetric conformal field theories
may be made by an appropriate gauge invariant combination of a gauged Wess-Zumino …

In this paper we introduce a new method for generating gauged sigma models from four-
dimensional Chern-Simons theory and give a unified action for a class of these models. We …