Curvature and gravity actions for matrix models: II. The case of general Poisson structures

Autor(en)

Daniel Blaschke, Harold Steinacker

Abstrakt

We study the geometrical meaning of higher order terms in matrix models of Yang–Mills type in the semi-classical limit, generalizing recent results (Blaschke and Steinacker 2010 Class. Quantum Grav. 27 165010 (arXiv:1003.4132)) to the case of four-dimensional spacetime geometries with general Poisson structure. Such terms are expected to arise e.g. upon quantization of the IKKT-type models. We identify terms which depend only on the intrinsic geometry and curvature, including modified versions of the Einstein–Hilbert action as well as terms which depend on the extrinsic curvature. Furthermore, a mechanism is found which implies that the effective metric G on the spacetime brane {\cal M}\subset \mathds{R}^D 'almost' coincides with the induced metric g. Deviations from G = g are suppressed, and characterized by the would-be U(1) gauge field.

Organisation(en)

Mathematische Physik

Journal

Classical and Quantum Gravity

Band

27

Anzahl der Seiten

26

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/27/23/235019

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b09822fc-2319-45c7-a499-6607e80b9179