On matrix geometry

Autor(en)

Harold Steinacker

Abstrakt

The foundations of matrix geometry are discussed, which provides the basis for recent progress on the effective geometry and gravity in Yang-Mills matrix models. Basic examples lead to a notion of embedded noncommutative spaces (branes) with emergent Riemannian geometry. This class of configurations turns out to be preserved under small deformations, and is therefore appropriate for matrix models. The relation with spectral geometry is discussed. A possible realization of sufficiently generic 4-dimensional geometries as noncommutative branes in D=10 matrix models is sketched.

Organisation(en)

Mathematische Physik

Journal

Proceedings of Science (PoS)

Band

1101

Seiten

1-15

Anzahl der Seiten

15

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/1b9d8789-26b3-49e0-b113-5cfd327f55ce