Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2017 | Submitted
Journal Article Open

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


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.

Additional Information

© 2017 Springer-Verlag GmbH Germany. Received: 6 April 2017; Accepted: 21 July 2017; First Online: 20 September 2017. The second author acknowledges support from NSF grants DMS-1201512, DMS-1707882, and PHY-919 1205440. Part of this work was done at the Perimeter Institute for Theoretical Physics, supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation.

Attached Files

Submitted - 1611.01815.pdf


Files (465.0 kB)
Name Size Download all
465.0 kB Preview Download

Additional details

August 19, 2023
March 5, 2024