Quantum Geometry & the Functional Renormalization Group in Tensorial Field Theory

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Abstract

It might be a crucial feature of a quantum theory of gravity that space-time is generated from fundamentally discrete structures. However, then it becomes highly non-trivial to recover the observed continuous 4D space-time in an appropriate regime. In Tensor models one can find continuous random geometries at criticality but they lie in universality classes of at most two dimensions. There are indications that adding geometric degrees of freedom can enhance the dimension, leading to so-called tensorial field theories. Their phase space can be explored using functional renormalization-group techniques and we will present recent results on fixed points in the cyclic-melonic regime of the theory.

Speakers from the University of Münster

Thürigen, Johannes

Professur für Reine Mathematik (Prof. Wulkenhaar)