Published May 5, 2020
| Version Accepted Version + Published
Journal Article
Open
Quantum Statistical Mechanics of the Absolute Galois Group
Creators
Abstract
We present possible extensions of the quantum statistical mechanical formulation of class field theory to the non-abelian case, based on the action of the absolute Galois group on Grothendieck's dessins d'enfant, the embedding in the Grothendieck-Teichmüller group, and the Drinfeld-Ihara involution.
Additional Information
© 2020 The Author(s) under the terms of the Creative Commons Attribution-ShareAlike License. Received August 01, 2019, in final form April 15, 2020; Published online May 05, 2020. This paper is a contribution to the Special Issue on Integrability, Geometry, Moduli in honor of Motohico Mulase for his 65th birthday. The full collection is available at https://www.emis.de/journals/SIGMA/Mulase.html. The second named author is partially supported by NSF grant DMS-1707882, and by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement grant RGPAS-2018-522593. We thank the anonymous referees for several very useful comments that significantly improve the paper, and Lieven Le Bruyn for his suggestions in a series of mails that helped us to avoid ambiguities.Attached Files
Published - sigma20-038.pdf
Accepted Version - 1907.13545.pdf
Files
1907.13545.pdf
Additional details
Identifiers
- Eprint ID
- 103267
- Resolver ID
- CaltechAUTHORS:20200518-092511147
Related works
- Describes
- https://arxiv.org/abs/1907.13545 (URL)
Funding
- NSF
- DMS-1707882
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPIN-2018-04937
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPAS-2018-522593
Dates
- Created
-
2020-05-18Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department