57 citations · 122 across the 3 of their papers we have counts for
6 papers
Ricci Solitons and Einstein-Scalar Field Theory
M M Akbar, E Woolgar
B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by…
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…
Positive Energy for Asymptotically Anti-de Sitter Schwarzschild Spacetimes
E. Woolgar
Within the general class of Asymptotically Anti-de Sitter spacetimes that are asymptotic to the A-de-S Schwarzschild metric, we give a simple positive mass theorem based on argumen…