The curvature of branes, currents and gravity in matrix models
High Energy Physics - Theory
2014-09-11 v2 General Relativity and Quantum Cosmology
Abstract
The curvature of brane solutions in Yang-Mills matrix models is expressed in terms of conserved currents associated with global symmetries of the model. This implies a relation between the Ricci tensor and the energy-momentum tensor due to the basic matrix model action, without invoking an Einstein-Hilbert term. The coupling is governed by the extrinsic curvature of the brane embedding, which arises naturally for compactified brane solutions. The effective gravity on the brane is thereby related to the compactification moduli, and protected from quantum corrections due to the relation with global symmetries.
Keywords
Cite
@article{arxiv.1210.8364,
title = {The curvature of branes, currents and gravity in matrix models},
author = {Harold Steinacker},
journal= {arXiv preprint arXiv:1210.8364},
year = {2014}
}
Comments
28 pages. V2: typos fixed, published version