We consider the problem of identifying the CFT's that may be dual to pure gravity in three
dimensions with negative cosmological constant. The c-theorem indicates that three …

A (1+ 1) D unitary bosonic rational conformal field theory (RCFT) may be organized
according to its genus, a tuple (c, C) consisting of its central charge c and a unitary modular …

Monstrous moonshine relates distinguished modular functions to the representation theory
of the Monster. The celebrated observations that 1= 1, 196884= 1+ 196883, 21493760= 1+ …

We classify two-dimensional purely chiral unitary conformal field theories which are defined
on two-dimensional surfaces equipped with spin structure and have central charge less than …

Moonshine forms a way of explaining the mysterious connection between the monster finite
group and modular functions from classical number theory. The theory has evolved to …

Abstract Eguchi, Ooguri and Tachikawa observed that the coefficients of the elliptic genus of
type II string theory on K3 surfaces appear to be dimensions of representations of the largest …

A bstract We construct a class of chiral fermionic CFTs from classical codes over finite fields
whose order is a prime number. We exploit the relationship between classical codes and …

We observe that every self-dual ternary code determines a holomorphic superconformal
field theory. This provides ternary constructions of some well-known holomorphic …

We define modular linear differential equations (MLDE) for the level-two congruence
subgroups, and of. Each subgroup corresponds to one of the spin structures on the torus …

We exhibit an action of Conway's group–the automorphism group of the Leech lattice–on a
distinguished super vertex operator algebra, and we prove that the associated graded trace …