Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models

Details Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models

2008-06-12

arxiv.org/abs/0806.2032v4

Nucl.Phys.B810:1-39,2009

Physics

High Energy Physics

High Energy Physics - Theory

45 pages. V2: typos corrected, reference added. V3: discussion and references added. V4: derivation of Ward identity fixed

Scientific paper

10.1016/j.nuclphysb.2008.10.014

The framework of emergent gravity arising from Yang-Mills matrix models is developed further, for general noncommutative branes embedded in R^D. 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^D. 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.

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