Imaginary mass lune determinants

preprint2014arXivOpen access

Abstract

Functional determinants for a scalar field with negative mass squared are numerically evaluated on an orbifolded three-sphere, in particular on a lune and on a regular 4--polytope fundamental domain. Graphs are provided of the logdets and some Hartle-Hawking probabilities, on the basis of the dS/CFT correspondence.

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