Graviton Propagators in Supergravity and Noncommutative Gauge Theory

Abstract

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.

19 pages

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Cited by in corpus (11)

• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Emergent Gravity from Noncommutative Gauge Theory
• Emergent Gravity from Noncommutative Spacetime
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Fermions and Emergent Noncommutative Gravity
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Green-Schwarz superstring from type IIB matrix model
• Superstring vertex operators in type IIB matrix model
• Fermions Coupled to Emergent Noncommutative Gravity