München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Gravitation, Felder und Schwarze Löcher

MP 10.4: Talk

Thursday, March 21, 2019, 12:00–12:20, HS 23

Poisson brackets for Einstein gravity with Kalb-Ramond field and dilaton — •Eugenia Boffo and Peter Schupp — Jacobs University, Bremen, Germany

We formulate Einstein gravity with the field strength of an antisymmetric 2-form, conformally coupled to a scalar field φ with its own kinetic term, as the mechanics of a graded Poisson structure with some Hamiltonian Θ.

A relevant feature of our formulation is that we allow the extended graded phase space to have a connection which is curvatureless. The setup admits also an elegant description in terms of an algebroid on the sections of TM ⊕ T^*M, and hence a subsequent connection inherited from the one we start with. The derived curvature scalar, projected to the standard tangent space, will then automatically include all the relevant fields (metric, Kalb-Ramond and dilaton) in the right way.

We expect that some slightly different Poisson brackets will account for the non-geometric flux of the open strings metrics.