Fermions Coupled to Emergent Noncommutative Gravity
High Energy Physics - Theory
2010-02-16 v1
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.
Cite
@article{arxiv.0901.2322,
title = {Fermions Coupled to Emergent Noncommutative Gravity},
author = {Daniela Klammer and Harold Steinacker},
journal= {arXiv preprint arXiv:0901.2322},
year = {2010}
}
Comments
Talk given at a Workshop on Black Holes in General Relativity and String Theory, August 2008. Veli Losinj, Croatia