Harold Steinacker (Vienna):

4D Gravity from noncommutative gauge theory

Abstract:

We show that the matrix-model formulation of noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. The nonabelian gauge fields as well as additional scalar fields couple to a dynamical metric G_{ab}, which is given in terms of a Poisson structure. This leads to a gravity theory with a preferred frame, which is naturally related to noncommutativity. Essential features such as gravitational waves and the Newtonian limit are reproduced correctly. It also suggests a consistent picture of UV/IR mixing. This might provide a framework which is suitable for quantizing gravity.

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