Electromagnetic interactions can be introduced by a deformation of the canonical commutation relations, as a slightly more general alternative to the usual minimal coupling prescription. We show that the same is true for gravitational interactions, but graded manifolds are required. As an application we present a slick derivation of the bosonic part of the supergravity (string effective) action. The construction provides a
novel, somewhat more algebraic interpretation of the key ingredients of general relativity. The mathematical setting is Hitchin's generalized geometry.
Peter Schupp (Bremen): Gravity as graded spacetime (quantum) mechanics
Location:
TU Wien, HS Kl. Schiffbau, Maschinenbaugebäude 1. Stock, Getreidemarkt 9
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Foto: Barbara Mair