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Brane compactifications and 4-dimensional geometry in the IKKT model

Autor(en)
Alexios P. Polychronakos, Harold Steinacker, Jochen Zahn
Abstrakt

We study in detail certain brane solutions with compact extra dimensions M^4 x K in the IKKT matrix model, with K being a two-dimensional rotating torus embedded in R^6. We focus on the compactification moduli and the fluctuations of K \subset R^6 and their physical significance. Mediated by the Poisson tensor, they contribute to the effective 4-dimensional metric on the brane, and thereby become gravitational degrees of freedom. We show that the zero modes corresponding to the global symmetries of the model lead to Ricci-flat 4-dimensional metric perturbations, wherever the energy-momentum tensor vanishes. Their coupling to the energy momentum tensor depends on the extrinsic curvature of the brane.

Organisation(en)
Mathematische Physik
Externe Organisation(en)
City University of New York
Journal
Nuclear Physics, Section B
Band
875
Seiten
566-598
Anzahl der Seiten
33
ISSN
0550-3213
DOI
https://doi.org/10.1016/j.nuclphysb.2013.07.017
Publikationsdatum
10-2013
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik, 103019 Mathematische Physik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/0b8159db-5b24-4cbf-936c-1bb8ec5eff3f