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6 papers
Perelman's Ricci Flow in Topological Quantum Gravity
Alexander Frenkel, Petr Horava, Stephen Randall
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the…
The Geometry of Time in Topological Quantum Gravity of the Ricci Flow
Alexander Frenkel, Petr Horava, Stephen Randall
We continue the study of topological nonrelativistic quantum gravity associated with a family of Ricci flow equations on Riemannian manifolds. This topological gravity is of the co…
Topological Quantum Gravity of the Ricci Flow
Alexander Frenkel, Petr Horava, Stephen Randall
We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow on Riemannian manifolds. First we use BRST quantization to constr…
Five-dimensional Supergravity in N = 1/2 Superspace
Katrin Becker, Melanie Becker, Daniel Butter +2
We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincaré symmetries m…
All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
Katrin Becker, Melanie Becker, William D. Linch +2
We give a geometric description of supersymmetric gravity/(non-)abelian -form hierarchies in superspaces with 4D, super-Poincare invariance. These hierarchies give rise…
Supersymmetric Tensor Hierarchies from Superspace Cohomology
Stephen Randall
In this set of lectures we give a pedagogical introduction to the way in which the nilpotency of a super-de Rham operator can be exploited for the construction of gauge theories in…