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arXiv · 1606.00769

Emergent gravity on covariant quantum spaces in the IKKT model

Harold C. Steinacker
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Abstract

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.

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Harold C. Steinacker. 2016-06-02. Emergent gravity on covariant quantum spaces in the IKKT model. https://doi.org/10.1007/jhep12(2016)156

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