Graviton Propagators on Fuzzy G/H

TL;DR

This paper demonstrates that graviton-like excitations in noncommutative gauge theories on fuzzy G/H spaces behave as massless particles, supporting the idea that D3-branes can model our universe within this framework.

Contribution

It introduces a novel approach to describe graviton modes via open Wilson lines in fuzzy G/H spaces, linking string theory and noncommutative gauge theories.

Findings

Two-point functions of graviton Wilson lines behave as 1/(momentum)^2

Gravitons are localized on D3-branes, modeling our universe

Analysis extends to various dimensions and topologies of D-branes

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.