Journal of High Energy Physics

, 2016:156 | Cite as

Emergent gravity on covariant quantum spaces in the IKKT model

  • Harold C. Steinacker
Open Access
Regular Article - Theoretical Physics


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.


M(atrix) Theories Models of Quantum Gravity Non-Commutative Geometry 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Faculty of PhysicsUniversity of ViennaViennaAustria

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