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 …

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 …

We show that there is a braided tensor category structure on the category of C 1-cofinite
modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary central …

The fractional level models are (logarithmic) conformal field theories associated with affine
Kac–Moody (super) algebras at certain levels k∈ Q. They are particularly noteworthy …

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 …

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 …

We give new proofs of the rationality of the N= 1 superconformal minimal model vertex
operator superalgebras and of the classification of their modules in both the Neveu …

We present two explicit expressions for generic singular vectors of type $(r, s) $ of the
Virasoro algebra. These results follow from the paper of Bauer et al which presented …

A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack
polynomials is extended to the supersymmetric case. The resulting expression of a generic …

In this paper, we use free field realisations of the A-type principal, or Casimir, WN algebras
to derive explicit formulae for singular vectors in Fock modules. These singular vectors are …