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Holographic Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces

Marcolli, Matilde (2020) Holographic Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces. Pure and Applied Mathematics Quarterly, 16 (1). pp. 1-33. ISSN 1558-8602. https://resolver.caltech.edu/CaltechAUTHORS:20200518-094042414

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Abstract

This paper is based on the author’s talk at the Arbeitstagung 2017. It discusses some general approaches to the construction of classical and quantum holographic codes on Bruhat–Tits trees and buildings and on Drinfeld symmetric spaces, in the context of the p-adic AdS/CFT correspondence.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.4310/PAMQ.2020.v16.n1.a1DOIArticle
https://arxiv.org/abs/1801.09623arXivDiscussion Paper
Additional Information:© 2020 by International Press of Boston, Inc. Received 29 January 2018; Published 6 February 2020. Dedicated to Yuri Manin on the occasion of his 80th birthday. The author thanks Matthew Heydeman, Sarthak Parikh, and Ingmar Saberi for many very useful discussions and an ongoing collaboration on several topics discussed in this paper, and especially Sarthak Parikh for suggesting several improvements to the paper. The author is partially supported by NSF grant DMS-1707882, by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement Grant RGPAS-2018-522593, and by the Perimeter Institute for Theoretical Physics.
Funders:
Funding AgencyGrant Number
NSFDMS-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
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Subject Keywords:Arithmetical physics, AdS/CFT holography, p-adic, Bruhat–Tits buildings, Drinfeld symmetric spaces
Issue or Number:1
Record Number:CaltechAUTHORS:20200518-094042414
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200518-094042414
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103269
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 May 2020 17:05
Last Modified:23 Jul 2020 19:22

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