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arXiv · hep-th/0512204

Graviton Propagators on Fuzzy G/H

Yoshihisa Kitazawa·Satoshi Nagaoka
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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.

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Yoshihisa Kitazawa, Satoshi Nagaoka. 2006-02-02. Graviton Propagators on Fuzzy G/H. https://doi.org/10.1088/1126-6708%2F2006%2F02%2F001

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