55 citations · 123 across the 12 of their papers we have counts for
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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…
Superforms in Five-Dimensional, Superspace
S. James Gates, William D. Linch, Stephen Randall
We examine the five-dimensional super-de Rham complex with supersymmetry. The elements of this complex are presented explicitly and related to those of the six-dimensional…
Superspace de Rham Complex and Relative Cohomology
William D. Linch, Stephen Randall
We investigate the super-de Rham complex of five-dimensional superforms with supersymmetry. By introducing a free supercommutative algebra of auxiliary variables, we show tha…
The Structure of Superforms
Stephen Randall
In this thesis we examine a set of foundational questions concerning closed forms in superspace. By reformulating a number of definitions through the use of a new ring of (anti-)co…
Reduction Redux of Adinkras
S. James Gates, Stephen Randall, Kory Stiffler
We show performing general "0-brane reduction" along an arbitrary fixed direction in spacetime and applied to the starting point of minimal, off-shell 4D, 1 irreducibl…
4D, N=1 Supergravity Genomics
Isaac Chappell, S. James Gates, William D. Linch +4
The off-shell representation theory of 4D, supermultiplets can be categorized in terms of distinct irreducible graphical representations called adinkras as part of…
Five dimensional supergravity in N = 1 superspace
W. D. Linch, Markus A. Luty, J. Phillips
We give a formulation of linearized minimal 5-dimensional supergravity in N = 1 superspace. Infinitesimal local 5D diffeomorphisms, local 5D Lorentz transformations, and local 5D s…