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Hořava Gravity is Asymptotically Free in 2+1 Dimensions
Andrei O Barvinsky1,2, Diego Blas3, Mario Herrero-Valea4
1Theory Department, Lebedev Physics Institute, Leninsky Prospect 53, Moscow 119991, Russia.
Abstract:
We compute the β functions of marginal couplings in projectable Hořava gravity in 2+1 spacetime dimensions. We show that the renormalization group flow has an asymptotically free fixed point in the ultraviolet (UV), establishing the theory as a UV-complete model with dynamical gravitational degrees of freedom. Therefore, this theory may serve as a toy model to study fundamental aspects of quantum gravity. Our results represent a step forward towards understanding the UV properties of realistic versions of Hořava gravity.
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