196 citations · 779 across the 33 of their papers we have counts for
8 papers · 1 filter
New Restrictions on the Topology of Extreme Black Holes
Marcus Khuri, Eric Woolgar, William Wylie
We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross-sections for extreme stationary vacuum black holes in arbitrary dimensi…
Nonexistence of Extremal de Sitter Black Rings
Marcus Khuri, Eric Woolgar
We show that near-horizon geometries in the presence of a positive cosmological constant cannot exist with ring topology. In particular, de Sitter black rings with vanishing surfac…
Some Applications of Ricci Flow in Physics
E. Woolgar
I discuss certain applications of the Ricci flow in physics. I first review how it arises in the renormalization group (RG) flow of a nonlinear sigma model. I then review the conce…
A Metric for Gradient RG Flow of the Worldsheet Sigma Model Beyond First Order
T. Oliynyk, V. Suneeta, E. Woolgar
Tseytlin has recently proposed that an action functional exists whose gradient generates to all orders in perturbation theory the Renormalization Group (RG) flow of the target spac…
A Gradient Flow for Worldsheet Nonlinear Sigma Models
T Oliynyk, V Suneeta, E Woolgar
We discuss certain recent mathematical advances, mainly due to Perelman, in the theory of Ricci flows and their relevance for renormalization group (RG) flows. We consider nonlinea…
Irreversibility of World-sheet Renormalization Group Flow
T Oliynyk, V Suneeta, E Woolgar
We demonstrate the irreversibility of a wide class of world-sheet renormalization group (RG) flows to first order in in string theory. Our techniques draw on the mathematics o…