We study ring of functions on the (classical and quantized) phase space of $2 d $ BF theory
with the gauge group $\mathrm {GL} _N $ coupled to a $1 d $ quantum mechanics with …

A bstract We study correlation functions of determinant-like operators in the “chiral algebra
subsector” of four-dimensional\(\mathcal {N}\)= 4 gauge theory with U (N) gauge group. We …

Twisted holography captures protected aspects of well-known holographic dualities. We
show how the holographic dual B-model background can be systematically derived from …

We describe the family of supersymmetric twists of $\mathcal N= 4$ super Yang--Mills theory
using derived algebraic geometry, starting from holomorphic Chern--Simons theory on …

Twisted holography relates the two-dimensional chiral algebra subsector of N 4 SYM to the
B-model topological string theory on the deformed conifold SL (2, C). We review the relevant …

A bstract We study the Coulomb branches of 3d\(\mathcal {N}= 4\)“star-shaped” quiver
gauge theories and their deformation quantizations, by applying algebraic techniques that …

A bstract We discuss the notion of translation-invariant vacua for 2d chiral algebras and
relate it to the notion of the associated variety. The two-dimensional chiral algebra …

We propose a toy model for holographic duality. The model is constructed by embedding a
stack of $ N $ D2-branes and $ K $ D4-branes (with one dimensional intersection) in a 6D …

Twisted holography is a duality between a twisted supergravity, and a twisted
supersymmetric gauge theory living on the D-branes in the supergravity. The main …

A bstract The main objective of this work is to construct and classify the most general
classical and quantum\(\mathcal {N}\)= 1\(\mathcal {W}\)∞-algebras generated by the same …