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