Monstrous branes

TL;DR

This paper classifies D-branes in bosonic closed string theory with automorphism group Bimonster, revealing their transformation properties and extending to self-dual conformal field theories with Lie group actions.

Contribution

It provides a complete classification of Bimonster-preserving D-branes and their representation structure, expanding understanding of symmetries in string theory.

Findings

D-branes form representations of the Bimonster group

Classification of D-branes preserving Monster invariants

Applicability to self-dual conformal field theories with Lie group actions

Abstract

We study D-branes in the bosonic closed string theory whose automorphism group is the Bimonster group (the wreath product of the Monster simple group with Z_2). We give a complete classification of D-branes preserving the chiral subalgebra of Monster invariants and show that they transform in a representation of the Bimonster. Our results apply more generally to self-dual conformal field theories which admit the action of a compact Lie group on both the left- and right-moving sectors.