Heat trace and spectral action on the standard Podles sphere

Published 16 Jul 2013 in math.QA, hep-th, math-ph, math.MP, and math.OA | (1307.4188v1)

Abstract: We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres $S^2_q$ for $0<q<1$, study its behavior when $q\to 1$ and fully compute its exact spectral action for an explicit class of cut-off functions.

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