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Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
Farzad Fathi Zadeh,
Matilde Marcolli
Communications in Mathematical Physics, Volume: 356, Issue: 2, Pages: 641 - 671
Swansea University Author: Farzad Fathi Zadeh
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DOI (Published version): 10.1007/s00220-017-2991-x
Abstract
We consider a general expansion factor in the Robertson-Walker cosmological model as an affine variable and prove that each coefficient in the spectral action is the period of a mixed Tate motive.
| Published in: | Communications in Mathematical Physics |
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| ISSN: | 0010-3616 1432-0916 |
| Published: |
Springer Science and Business Media LLC
2017
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa40165 |
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| Abstract: |
We consider a general expansion factor in the Robertson-Walker cosmological model as an affine variable and prove that each coefficient in the spectral action is the period of a mixed Tate motive. |
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| Keywords: |
Dirac-Laplacian, Robertson-Walker metrics, spectral action, periods, motives |
| College: |
Faculty of Science and Engineering |
| Issue: |
2 |
| Start Page: |
641 |
| End Page: |
671 |