4D Geometry Generated by Combinatorially Non-local Field Theory

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Zusammenfassung

Recovering the observed four-dimensional spacetime is a major challenge and distinguishing criterion for any quantum theory of gravity based on fundamentally discrete structures. Tensor models seem to generate random geometries, but only two-dimensional or fractal ones. I will show here how adding geometric degrees of freedom in the spirit of group field theory enables to overcome this obstacle. Examples of four-dimensional random geometries in such field theories open up the possibility that group-field quantum gravity entails a semiclassical regime of continuum spacetime in agreement with observations.

Vortragende der Universität Münster

Thürigen, Johannes

Professur für Reine Mathematik (Prof. Wulkenhaar)