Holography and local fields

Ingmar Saberi

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arXiv · 1801.04942

Holography and local fields

Ingmar Saberi

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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 $p$-adic mathematical physics and its applications (CINVESTAV, Mexico City, October 2017), reviews some recent work connecting field theories defined on the $p$-adic numbers and ideas from the AdS/CFT correspondence. Some results are included, along with general discussion of the utility and interest of $p$-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.

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Ingmar Saberi. 2018-01-15. Holography and local fields. https://arxiv.org/abs/1801.04942

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