Graviton Propagators on Fuzzy G/H

Abstract

We describe closed string modes by open Wilson lines in noncommutative (NC) gauge theories on compact fuzzy G/H in IIB matrix model. In this construction the world sheet cut-off is related to the spacetime cut-off since the string bit of the symmetric traced Wilson line carries the minimum momentum on G/H. We show that the two point correlation functions of graviton type Wilson lines in 4 dimensional NC gauge theories behave as 1/(momentum)^2. This result suggests that graviton is localized on D3-brane, so we can naturally interpret D3-branes as our universe. Our result is not limited to D3-brane system, and we generalize our analysis to other dimensions and even to any topology of D-brane worldvolume within fuzzy G/H.

22 pages, 1 figure. minor corrections

References in corpus (3)

• Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models
• Wilson Loops and Vertex Operators in Matrix Model
• Wilson Line Correlators in N=4 Non-commutative Gauge Theory on S^2 x S^2

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• On the 1-loop effective action for the IKKT model and non-commutative branes
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• Graviton Propagators in Supergravity and Noncommutative Gauge Theory
• 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