Holography and local fields
Abstract
This paper, which is a summary (in which considerable creative license has been taken) of the author's talk at the sixth international conference on -adic mathematical physics and its applications (CINVESTAV, Mexico City, October 2017), reviews some recent work connecting field theories defined on the -adic numbers and ideas from the AdS/CFT correspondence. Some results are included, along with general discussion of the utility and interest of -adic analogues of Lagrangian field theories, at least from the author's perspective. A few challenges, shortcomings, and ideas for future work are also discussed.
Cite
@article{arxiv.1801.04942,
title = {Holography and local fields},
author = {Ingmar Saberi},
journal= {arXiv preprint arXiv:1801.04942},
year = {2018}
}
Comments
26 pages, no figures to speak of. The talk on which this proceeding is based was delivered at the sixth international conference on p-adic mathematical physics and its applications, held at CINVESTAV, Mexico City, October 23--27, 2017