A bstract In this work we revisit the “holomorphic modular bootstrap”, ie the classification of
rational conformal field theories via an analysis of the modular differential equations …

A comprehensive symmetry resolution of the entanglement entropy in (1+ 1)-d rational
conformal field theories with categorical noninvertible symmetries is presented. This …

A bstract There is a well-known map from 4d\(\mathcal {N}\)= 2 superconformal field theories
(SCFTs) to 2d vertex operator algebras (VOAs). The 4d Schur index corresponds to the VOA …

In this paper we analytically explore the modularity of the flavored Schur index of 4d N= 2
superconformal field theories. We focus on the A 1 theories of class-S and N= 4 theories with …

Every 4D N= 2 superconformal field theory T corresponds to an associated vertex operator
algebra V (T), which is in general nonrational with a more involved representation theory …

A bstract We systemically study the Hecke relations and the c= 8k coset relations among 2d
rational conformal field theories (RCFTs) with up to seven characters. We propose that the …

A comprehensive symmetry resolution of the entanglement entropy (EE) in $(1+ 1) $-d
rational conformal field theories (RCFT) with categorical non-invertible symmetries is …

Flavored modular differential equations sometimes arise from null states or their
descendants in a chiral algebra with continuous flavor symmetry. In this paper we focus on …

A bstract We investigate the admissible vector-valued modular forms having three
independent characters and vanishing Wronskian index and determine which ones …

A bstract In the modular linear differential equation (MLDE) approach to classifying rational
conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non …