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 …

We define new deformable families of vertex operator algebras A g, Ψ, σ A g, Ψ, σ
associated to a large set of S-duality operations in four-dimensional supersymmetric gauge …

The Schur index of the (A_1, X_n)(A 1, X n)-Argyres–Douglas theory is conjecturally a
character of a vertex operator algebra. Here such vertex algebras are found for the A_ odd A …

We study higher rank Jacobi partial and false theta functions (generalizations of the classical
partial and false theta functions) associated to positive definite rational lattices. In particular …

A bstract We analyze the asymptotic symmetry of higher spin gravity with M× M matrix valued
fields, which is given by rectangular W-algebras with su (M) symmetry. The matrix valued …

In this paper, we study certain partial and false theta functions in connection to vertex
operator algebras and conformal field theory. We prove a variety of results concerning the …

In this paper we compute aq-hypergeometric expression for the cyclotomic expansion of the
colored Jones polynomial for the left-handed torus knot (2, 2 t+ 1). We use this to define a …

In this paper, we study quantum modular forms in connection to quantum invariants of
plumbed 3-manifolds introduced recently by Gukov, Pei, Putrov, and Vafa. We explicitly …

We study a family of non-C 2-cofinite vertex operator algebras, called the singlet vertex
operator algebras, and connect several important concepts in the theory of vertex operator …

A bstract We compute the equivariant elliptic genera of several classes of ALE and ALF
manifolds using localization in gauged linear sigma models. In the sigma model …