Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions

Details Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions

2009-09-29

arxiv.org/abs/0909.5298v2

JHEP 1002:074,2010

Physics

High Energy Physics

High Energy Physics - Theory

34 pages; minor changes

Scientific paper

10.1007/JHEP02(2010)074

We study fermions coupled to Yang-Mills matrix models from the point of view of emergent gravity. The matrix model Dirac operator provides an appropriate coupling for fermions to the effective gravitational metric for general branes with nontrivial embedding, albeit with a non-standard spin connection. This generalizes previous results for 4-dimensional matrix models. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action of the effective metric, as well as additional terms which couple the Poisson tensor to the Riemann tensor, and a dilaton-like term.

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