9 papers · 1 filter
Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
Harold C. Steinacker
This paper aims to clarify conceptual aspects of emergent structure in IKKT-type matrix models. Even without any adjustable parameters in the action, non-trivial matrix vacua do ac…
Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
Christian GaÃ, Harold Steinacker
We present an expanding, spatially flat () FLRW quantum spacetime with a Big Bang, considered as a background in Yang-Mills matrix models. The FLRW geometry emerges in the sem…
One-loop effective action of the IKKT model for cosmological backgrounds
Emmanuele Battista, Harold C. Steinacker
We study cosmological solutions of the IKKT model with FLWR geometry, taking into account one-loop corrections. A previously discussed covariant quantum spacetime is found t…
Minimal covariant quantum space-time
Alessandro Manta, Harold C. Steinacker
We discuss minimal covariant quantum space-time , which is defined through the minimal doubleton representation of . An elementary definition…
Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
Marcus Sperling, Harold C. Steinacker
We discuss a -dimensional covariant quantum space-time describing a FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy hyperboloid . This provide…
-extended gravity from the IKKT matrix model
Alessandro Manta, Harold C. Steinacker, Tung Tran
We elaborate further on the one-loop effective action of the IKKT model on 3 + 1 dimensional covariant quantum spacetime in the presence of fuzzy extra dimensions. In particular, w…