A bstract We propose a new program for computing a certain integrand of scattering
amplitudes of four-dimensional gauge theories which we call the form factor integrand …

These lecture notes concern the semi-holomorphic 4D Chern–Simons theory and its
applications to classical integrable field theories in 2D and in particular integrable sigma …

This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …

Factorization algebras are local-to-global objects that play a role in classical and quantum
field theory that is similar to the role of sheaves in geometry: they conveniently organize …

Several years ago, it was proposed that the usual solutions of the Yang-Baxter equation
associated to Lie groups can be deduced in a systematic way from four-dimensional gauge …

A bstract The question of whether the holomorphic collinear singularities of graviton
amplitudes define a consistent chiral algebra has garnered much recent attention. We …

We study two-dimensional integrable field theories from the viewpoint of the four-
dimensional Chern-Simons-type gauge theory introduced recently. The integrable field …

We consider holomorphic Poisson-BF theory on twistor space. Classically, this describes
self-dual Einstein gravity on space-time, but at the quantum level it is plagued by an …

A bstract We find a new infinite class of infinite-dimensional algebras acting on BPS states
for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a …

In this note, we study a simplified variant of the familiar holographic duality between
supergravity on AdS _3 * S^ 3 * T^ 4 AdS 3× S 3× T 4 and the SCFT (on the moduli space of) …