Conserved Currents of Double Field Theory

TL;DR

This paper derives the conserved current in double field theory related to generalized diffeomorphism invariance, enabling new tools like a generalized Komar integral, with applications to string solutions and compactifications.

Contribution

It introduces the conserved current in double field theory, applicable to both NSNS and RR sectors, and discusses its use in analyzing solutions and compactifications.

Findings

Derived the conserved current for double field theory.

Defined a generalized Komar integral based on the current.

Applied the current to fundamental string and pp-wave solutions.

Abstract

We find the conserved current associated to invariance under generalised diffeomorphisms in double field theory. This can be used to define a generalised Komar integral. We comment on its applications to solutions, in particular to the fundamental string/pp-wave. We also discuss the current in the context of Scherk-Schwarz compactifications. We calculate the current for both the original double field theory action, corresponding to the NSNS sector alone, and for the RR sector.