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Emergent gravity on covariant quantum spaces in the IKKT model

Autor(en)
Harold C. Steinacker
Abstrakt

We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation modes with lowest spin, supplemented by a tower of higher-spin fields. They arise from an internal structure which can be viewed as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry. The linearized 4-dimensional Einstein equations are obtained from the classical matrix model action under certain conditions, modified by an IR cutoff. Some one-loop contributions to the effective action are computed using the formalism of string states.

Organisation(en)
Mathematische Physik
Journal
Journal of High Energy Physics
Band
2016
Anzahl der Seiten
47
ISSN
1029-8479
DOI
https://doi.org/10.1007/JHEP12(2016)156
Publikationsdatum
12-2016
Peer-reviewed
Ja
ÖFOS 2012
103028 Relativitätstheorie, 103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/991b166b-77c5-4a10-b349-b34f7e8c7074