Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

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 …

We study the embeddings of the simple admissible affine vertex algebras V_k (sl (2)) V k (sl
(2)) and V_k (osp (1, 2)) V k (osp (1, 2)), k ∉\mathbb Z _ ≥ 0 k∉ Z≥ 0, into the tensor …

A bstract We study fermionic conformal field theories on surfaces with spin structure in the
presence of boundaries, defects, and interfaces. We obtain the relevant crossing relations …

We show that the category of $ C_1 $-cofinite modules for the universal $ N= 1$ super
Virasoro vertex operator superalgebra $\mathcal {S}(c, 0) $ at any central charge $ c $ is …

In this paper, we define and study Whittaker modules for the super-Viraoro algebras,
including the Neveu-Schwarz algebra and the Ramond algebra. We classify the simple …

Abstract The Bershadsky–Polyakov algebras are the minimal quantum hamiltonian
reductions of the affine vertex algebras associated to sl _ 3 sl 3 and their simple quotients …

We study the minimal models associated to osp (1| 2), otherwise known as the fractional-
level Wess–Zumino–Witten models of osp (1| 2). Since these minimal models are extensions …

We construct a family of staggered Virasoro modules which are isomorphic to those
constructed by Cromer. Using these staggered Virasoro modules, we verify the limit formulas …

The minimal model osp 1 2 osp\left (1| 2\right) vertex operator superalgebras are the simple
quotients of affine vertex operator superalgebras constructed from the affine Lie super …