Dirac Equation in the Background of the Nutku Helicoid Metric

Abstract

We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer non local spectral boundary conditions for both the four and the five dimensional manifolds.

16 pages, 1 figure, TeX file using boxedeps. Replaced by the revised version

Cited by in corpus (1)

• Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution