Fermions Coupled to Emergent Noncommutative Gravity

Details Fermions Coupled to Emergent Noncommutative Gravity Fermions Coupled to Emergent Noncommutative Gravity

2009-01-15

arxiv.org/abs/0901.2322v1

PoS BHs,GRandStrings 2008:037,2008

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at a Workshop on Black Holes in General Relativity and String Theory, August 2008. Veli Losinj, Croatia

Scientific paper

We study the coupling of fermions to Yang-Mills matrix models in the framework of emergent noncommutative gravity. It is shown that the matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard spin-connection. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action for on-shell geometries plus a dilaton-like term. This result explains UV/IR mixing as a gravity effect. It also illuminates why UV/IR mixing remains even in supersymmetric models, except in the N=4 case.

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