Non-geometric String Backgrounds and Worldsheet Algebras
Nick Halmagyi

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.
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