Other

A Polyakov Formula for Sectors

Volume: 28, Issue: 2, Pages: 1773 - 1839
Published: Jul 5, 2017
Abstract
We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to a conformal deformation in the direction of a conformal factor with a logarithmic singularity at the origin. We compute explicitly all the contributions to this formula coming from the different parts of the...
Paper Details
Title
A Polyakov Formula for Sectors
Published Date
Jul 5, 2017
Volume
28
Issue
2
Pages
1773 - 1839
Citation AnalysisPro
  • Scinapse’s Top 10 Citation Journals & Affiliations graph reveals the quality and authenticity of citations received by a paper.
  • Discover whether citations have been inflated due to self-citations, or if citations include institutional bias.