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arXiv · 1611.01815

Periods and motives in the spectral action of Robertson-Walker spacetimes

Farzad Fathizadeh·Matilde Marcolli
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Abstract

We show that, when considering the scaling factor as an affine variable, the coefficients of the asymptotic expansion of the spectral action on a (Euclidean) Robertson-Walker spacetime are periods of mixed Tate motives, involving relative motives of complements of unions of hyperplanes and quadric hypersurfaces and divisors given by unions of coordinate hyperplanes.

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Farzad Fathizadeh, Matilde Marcolli. 2016-11-06. Periods and motives in the spectral action of Robertson-Walker spacetimes. https://doi.org/10.1007/s00220-017-2991-x

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