A bstract We present a class of dS/CFT correspondence between two-dimensional CFTs
and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU (2) WZW …

In this Letter, we propose a holographic duality for classical gravity on a three-dimensional
de Sitter space. We first show that a pair of SU (2) Chern-Simons gauge theories reproduces …

We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …

We prove the conjecture of Gaiotto and Rap\v {c}\'ak that the $ Y $-algebras $ Y_ {L, M,
N}[\psi] $ with one of the parameters $ L, M, N $ zero, are simple one-parameter quotients of …

Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …

Trialities of W-algebras are isomorphisms between the affine cosets of three different W-
(super) algebras, and were first conjectured in the physics literature by Gaiotto and Rapčák …

Let V be a simple vertex operator algebra containing a rank n Heisenberg vertex algebra H
and let C= Com (H; V) be the coset of H in V. Assuming that the module categories of interest …

We give a functorial construction of the genus zero chiral algebras of class $\mathcal {S} $,
that is, the vertex algebras corresponding to the theory of class $\mathcal {S} $ associated …

We explore the properties of $\Omega $-deformed M-theory, with particular focus on the
$\mathbb {C} _ {\epsilon_1}\times\mathbb {C} _ {\epsilon_2}\times\mathbb {C} _ {\epsilon_3} …

We relate commutative algebras in braided tensor categories to braid-reversed tensor
equivalences, motivated by vertex algebra representation theory. First, for C a braided …