A bstract We study the torus partition functions of free bosonic CFTs in two dimensions.
Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the …

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

A bstract We find and propose an explanation for a large variety of modularity-related
symmetries in problems of 3-manifold topology and physics of 3d\(\mathcal {N}\)= 2 theories …

A bstract Studies of modular linear differential equations (MLDE) for the classification of
rational CFT characters have been limited to the case where the coefficient functions (in …

A bstract A classical result from analytic number theory by Rademacher gives an exact
formula for the Fourier coefficients of modular forms of non-positive weight. We apply similar …

A bstract We provide a simple and complete construction of infinite families of consistent,
modular-covariant pairs of characters satisfying the basic requirements to describe …

What follows is a broad-brush overview of the recent synergistic interactions between
mathematics and theoretical physics of quantum field theory and string theory. The …

The monster sporadic group is the automorphism group of a central charge c= 24 c= 24
vertex operator algebra (VOA) or meromorphic conformal field theory (CFT). In addition to its …

We describe general constraints on the elliptic genus of a 2d supersymmetric conformal field
theory which has a gravity dual with large radius in Planck units. We give examples of …

We present a brief overview of Moonshine with an emphasis on connections to physics.
Moonshine collectively refers to a set of phenomena connecting group theory, analytic …