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Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models

Autor(en)
Harold Steinacker
Abstrakt

The framework of emergent gravity arising from Yang–Mills matrix models is developed further, for general noncommutative branes embedded in R. The effective metric on the brane turns out to have a universal form reminiscent of the open string metric, depending on the dynamical Poisson structure and the embedding metric in R. A covariant form of the tree-level equations of motion is derived, and the Newtonian limit is discussed. This points to the necessity of branes in higher dimensions. The quantization is discussed qualitatively, which singles out the IKKT model as a prime candidate for a quantum theory of gravity coupled to matter. The Planck scale is then identified with the scale of N=4 SUSY breaking. A mechanism for avoiding the cosmological constant problem is exhibited.

Organisation(en)
Mathematische Physik
Journal
Nuclear Physics, Section B
Band
810
Seiten
1-39
Anzahl der Seiten
39
ISSN
0550-3213
DOI
https://doi.org/10.1016/j.nuclphysb.2008.10.014
Publikationsdatum
2009
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/20d84155-907d-4585-81ff-1f1abda07c8b