Motives and periods in Bianchi IX gravity models
Mathematical Physics
2018-05-23 v1 Algebraic Geometry
Differential Geometry
math.MP
Abstract
We show that, when considering the anisotropic scaling factors and their derivatives as affine variables, the coefficients of the heat kernel expansion of the Dirac-Laplacian on Bianchi IX metrics are algebro-geometric periods of motives of complements in affine spaces of unions of quadrics and hyperplanes. We show that the motives are mixed Tate and we provide an explicit computation of their Grothendieck classes.
Keywords
Cite
@article{arxiv.1709.08082,
title = {Motives and periods in Bianchi IX gravity models},
author = {Wentao Fan and Farzad Fathizadeh and Matilde Marcolli},
journal= {arXiv preprint arXiv:1709.08082},
year = {2018}
}
Comments
14 pages