Canonical formulation and conserved charges of double field theory

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.

51 pages, no figures. Minor revisions

References in corpus (11)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Finite Gauge Transformations and Geometry in Double Field Theory
• E11, generalised space-time and IIA string theory
• Strings and Branes are Waves
• A note on large gauge transformations in double field theory

Cited by in corpus (15)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Non-geometric branes are DFT monopoles
• Non-Riemannian isometries from double field theory
• Conserved Currents of Double Field Theory
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Black hole thermodynamics, stringy dualities and double field theory
• ${\alpha }^{\prime }$-corrections and their double formulation
• Doubled strings, negative strings and null waves
• Particle actions and brane tensions from double and exceptional geometry
• On the phase space in Double Field Theory
• Gauge Invariant Perturbation Theory via Homotopy Transfer
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• Cosmological Perturbations in Double Field Theory
• Black hole solutions in double field theory
• The canonical formulation of E${}_{6(6)}$ exceptional field theory