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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2019

    Preprint today by Yau et al., relating pp-adic strings to the Riemann zeta function:

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2019

    added more references. Should add some pointer to Bruhat-Tits trees. But no time now.

    diff, v9, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 9th 2019

    So this is developing the open bosonic corner you mention in the penultimate paragraph of your MO question?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 9th 2019


    It sounds rather striking what they say about Riemann zeta zeros corresponding to the adelic string spectrum. But I haven’t had time yet to try to absorb it.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 9th 2019

    Yes, quite something if some aspect of the Riemann hypothesis emerges from one corner of a “more general number theoretic and homotopy-theoretic refinement of string scattering amplitudes”.

    Is there anything deep in mathematics not touched by string/M-theory?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 10th 2019
    • (edited Jan 10th 2019)

    One thing I haven’t appreciated before is how a Bruhat-Tits building here serves as the disk-shaped worldsheet of the open string.

    I have no idea how this relates to taking elliptic curves over arbitrary rings as closed string vacuum diagrams, as it happens in the construction of the string orientation of tmf.

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 10th 2019
    • (edited Jan 10th 2019)

    To associate some fog with more fog, I wonder if topological Langlands is about here, relating arithmetic to homotopy theory. I see it gets a mention in Eric Peterson’s new book Formal Geometry and Bordism Operations footnote 18, p. 361.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 29th 2020

    added pointer to today’s

    • Paul H. Frampton, Particle Theory at Chicago in Late Sixties and p-Adic Strings (arXiv:2001.10915)

    diff, v15, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2020

    added this pointer on the suggestion that the disk worldsheet of the open p-adic string is to be identified with the Bruhat-Tits tree T pT_p:

    diff, v16, current

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