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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 7th 2020

    Added a couple more references.

    diff, v7, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 7th 2020

    One more.

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2020
    • (edited Jan 8th 2020)

    Thanks for adding these pointers.

    Here is a fascinating connection, maybe you could help me explore it:

    Yau et al make a strong case for p-adic string theory in

    where Bruhat-Tits trees play the role of “arithmetic” AdS spacetimes.


    • Ingmar Akira Saberi, Knots, Trees, and Fields: Common Ground Between Physics and Mathematics (doi:10.7907/Z9VX0DHZ, pdf)

    around Figure 4.3 this is related to knot theory.

    I feel that this is the way to connect to arithmetic Chern-Simons from weight systems on chord diagrams, and hence from Cohomotopy and Hypothesis H. But I didn’t yet find the time to explore this connection.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 8th 2020

    I’m flattered you think I could help. Certainly a fascinating topic.

    I like Saberi’s expository style. Did you see his account of pp-adic mathematical physics?:

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2020

    Thanks for the pointer. So to start we need an entry p-adic AdS/CFT correspondence and record these references there…

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2022
    • (edited Jul 3rd 2022)

    I have added publication data for this item:

    diff, v9, current

  1. Adding reference

    • Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo, Entanglement entropies in the abelian arithmetic Chern-Simons theory [2312.17138]


    diff, v11, current