4 papers · 1 filter
OPE and correlation functions in a generally covariant form
Arpit Das, Anatoly Konechny, Naveen Balaji Umasankar
In this paper we consider some general aspects of Euclidean conformal field theories on curved spaces of dimension . We first look at the OPE of scalar primary fields on co…
Verlinde lines, anyon permutations and commutant pairs inside CFT
Naveen Balaji Umasankar, Arpit Das
We develop a defect-theoretic refinement of meromorphic 2d CFTs in which the ordinary torus partition function -- often just the vacuum character -- does not reveal how states orga…
Two- & Three-character solutions to MLDEs and Ramanujan-Eisenstein Identities for Fricke Groups
Arpit Das, Naveen Balaji Umasankar
In this work we extend the study of arXiv:2210.07186 by investigating two- and three-character MLDEs for Fricke groups at prime levels. We have constructed these higher-character M…
Modular Linear Differential Equations for Hecke and Fricke Groups
Naveen Balaji Umasankar
Modular linear differential equations (MLDE) play a significant role in the classification of two-dimensional CFTs, where the modular forms in the equations belonged to the space o…