A bstract We consider several topologically twisted Chern-Simons-matter theories and
propose boundary VOAs whose module categories should model the category of line …

We study the braided tensor structure of line operators in the topological A and B twists of
abelian 3d $\mathcal {N}= 4$ gauge theories, as accessed via boundary vertex operator …

A bstract We introduce two mirror constructions of Vertex Operator Algebras associated to
special boundary conditions in 3d\(\mathcal {N}\)= 4 gauge theories. We conjecture various …

A bstract We formulate a conjectural relation between the category of line defects in
topologically twisted 3d\(\mathcal {N}\)= 4 supersymmetric quantum field theories and …

We study the holomorphic twist of 3d N= 2 gauge theories in the presence of boundaries,
and the algebraic structure of bulk and boundary local operators. In the holomorphic twist …

A bstract Three-dimensional\(\mathcal {N}\)= 4 supersymmetric quantum field theories admit
two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to …

We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive
new dualities of three-dimensional topological field theories. These generalize the familiar …

We analyze the non-semisimple category of line operators in Chern-Simons gauge theories
based off the Lie superalgebra $\mathfrak {gl}(1| 1) $. Our proposal is that the category of …

A bstract We associate vertex operator algebras to (p, q)-webs of interfaces in the
topologically twisted\(\mathcal {N}= 4\) super Yang-Mills theory. Y-algebras associated to …

We consider topological field theories that compute the Reidemeister-Milnor-Turaev torsion
in three dimensions. These are the psl (1| 1) and the U (1| 1) Chern-Simons theories …