On The Correspondence Between Noncommuative Field Theory And Gravity

Details On The Correspondence Between Noncommuative Field Theory And Gravity On The Correspondence Between Noncommuative Field Theory And Gravity

2006-12-20

arxiv.org/abs/hep-th/0612231v2

Mod.Phys.Lett.A22:1119-1132,2007

Physics

High Energy Physics

High Energy Physics - Theory

Invited Review for Mod. Phys. Lett. A, 16 pages

Scientific paper

10.1142/S0217732307023675

In this brief review, I summarize the new development on the correspondence between noncommuative (NC) field theory and gravity, shortly referred to as the NCFT/Gravity correspondence. I elucidate why a gauge theory in NC spacetime should be a theory of gravity. A basic reason for the NCFT/Gravity correspondence is that the $\Lambda$-symmetry (or B-field transformations) in NC spacetime can be considered as a par with diffeomorphisms, which results from the Darboux theorem. This fact leads to a striking picture about gravity: Gravity can emerge from a gauge theory in NC spacetime. Gravity is then a collective phenomenon emerging from gauge fields living in fuzzy spacetime.

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