2008/05/23 by Daniela Klammer, Harold Steinacker · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/08/074
published as JHEP 0808:074,2008 · 29 pages, 2 figures. V2: typos corrected, references added
arxiv created 2008/05/23 · openalex publication_date 2008/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Fermions coupled to Yang-Mills matrix models are studied from the point of view of emergent gravity. We show that the simple 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 and a dilaton-like term, at least for on-shell geometries. This explains and precisely reproduces the UV/IR mixing for fermions in noncommutative gauge theory, extending recent results for scalar fields. It also explains why some UV/IR mixing remains even in supersymmetric models, except in the N=4 case.