Entanglement entropy for odd spheres

2010/12/07 by J. S. Dowker, Dowker, J. S.
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Spectral Theory (math.SP) #gr-qc #hep-th #math.SP #quant-ph

paper · pdf · doi:10.48550/arxiv.1012.1548

15 pages

arxiv created 2010/12/07 · arxiv updated 2010/12/23

Abstract

It is shown, non--rigorously, that the effective action on a Z_q factored odd spheres (lune) has a vanishing derivative at q=1. This leaves the effective action on the ordinary odd d-sphere as (minus) the value of the entanglement entropy associated with a (d-2)-sphere. Some numbers are given.

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