The renormalization of fluctuating branes, the Galileon and asymptotic safety

Understand

We consider the renormalization of d-dimensional hypersurfaces (branes) embedded in flat (d+1)-dimensional space.

• We parametrize the truncated effective action in terms of geometric invariants built from the extrinsic and intrinsic curvatures.
• We study the renormalization-group running of the couplings and explore the fixed-point structure.
• We find evidence for an ultraviolet fixed point similar to the one underlying the asymptotic-safety scenario of gravity.