Dirac Equation in the Background of the Nutku Helicoid Metric

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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

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