Non-geometric String Backgrounds and Worldsheet Algebras

TL;DR

This paper develops a generalized charge algebra using Hamiltonian methods to describe non-geometric string backgrounds, extending the Courant bracket to include fluxes of various types, with connections to mathematical structures.

Contribution

It introduces a Hamiltonian-based approach to derive a generalized charge algebra that encompasses non-geometric fluxes, linking physics and mathematics.

Findings

Derived a charge algebra extending the Courant bracket with fluxes.

Connected the algebra to non-geometric backgrounds in string theory.

Related the algebra to Roytenberg's mathematical structures.

Abstract

Using worldsheet Hamiltonian methods we derive a charge algebra which generalizes the Courant bracket to include fluxes of general index type. This is achieved by coupling a bi-vector to the Hamiltonian of the Polyakov model. This bracket is useful to describe so-called non-geometric backgrounds and has been discussed in the mathematics literature by Dmitry Roytenberg.