Canonical formulation and conserved charges of double field theory

TL;DR

This paper develops the canonical formulation of double field theory, revealing its constraint structure, boundary terms, and conserved charges, thereby advancing the understanding of its dynamics and symmetries.

Contribution

It provides the first systematic canonical formulation of double field theory, including boundary terms and conserved charges, with analysis of constraint algebra and applications to solutions.

Findings

Constraint algebra closes on-shell with the C-bracket.

Boundary integrals are systematically constructed in doubled geometry.

Explicit expressions for conserved energy and momentum are derived for asymptotically flat doubled space-times.

Abstract

We provide the canonical formulation of double field theory. It is shown that this dynamics is subject to primary and secondary constraints. The Poisson bracket algebra of secondary constraints is shown to close on-shell according to the C-bracket. A systematic way of writing boundary integrals in doubled geometry is given. By including appropriate boundary terms in the double field theory Hamiltonian, expressions for conserved energy and momentum of an asymptotically flat doubled space-time are obtained and applied to a number of solutions.