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Topological Quantum Gravity of the Ricci Flow
April 15, 20192:00 pm – 3:00 pm (CDT)

Topological Quantum Gravity of the Ricci Flow


Petr Horava (University of California, Berkeley)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

We present a class of topological quantum gravity theories associated with the geometric theory of the Ricci flow on Riemannian manifolds. The most primitive theory is a nonrelativistic topological gravity of the spatial metric, whose path integral is localized to the solutions of Hamilton’s Ricci flow. After gauging foliation-preserving diffeomorphisms of spacetime, we establish connection to Perelman’s Ricci flow: The role of Perelman’s dilaton is played by the nonprojectable lapse function, and the F and W-functionals appear as our superpotential.

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