Graviton Propagators in Supergravity and Noncommutative Gauge Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages

Scientific paper

10.1103/PhysRevD.75.046007

We investigate the graviton propagator in the type IIB supergravity background which is dual to 4 dimensional noncommutative gauge theory. We assume that the boundary is located not at the infinity but at the noncommutative scale where the string frame metric exhibits the maximum. We argue that the Neumann boundary condition is the appropriate boundary condition to be adopted at the boundary. We find that the graviton propagator behaves just as that of the 4 dimensional massless graviton. On the other hand, the non-analytic behaviors of the other Kaluza-Klein modes are not significantly affected by the Neumann boundary condition.

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