Fermions Coupled to Emergent Noncommutative Gravity

Daniela Klammer; Harold Steinacker

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arXiv · 0901.2322

Fermions Coupled to Emergent Noncommutative Gravity

Daniela Klammer·Harold Steinacker

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Abstract

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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Daniela Klammer, Harold Steinacker. 2009-01-15. Fermions Coupled to Emergent Noncommutative Gravity. https://arxiv.org/abs/0901.2322

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