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nLab > Latest Changes: D-brane charge quantization in topological K-theory -- references

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2020

    this is a bare list of references, to be !include-ed into relevant entries (such as D-brane, Dirac charge quantization and D-brane charge quantization in K-theory).

    In fact, the list is that which has been in each of these entries all along, and it has been a pain to synchronize the parallel lists. So this here now to ease the process.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2021

    I have made more explicit (here) the two observations that are the basis for the conjecture; and cross-linked more explicitly with Sen’s conjecture

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2021
    • (edited Jan 2nd 2021)

    after mentioning of Witten’s original argument about tachyon condensation, I added this comment (here):

    The closest towards an actual check of this second argument about open superstring tachyon condensation (Witten 98, Section 3) seems to be

    • Theodore Erler, Analytic Solution for Tachyon Condensation in Berkovits’ Open Superstring Field Theory, JHEP 1311 (2013) 007 (arXiv:1308.4400)

    which concludes with:

    It would also be interesting to see if these developments can shed light on the long-speculated relation between string field theory and the K-theoretic description of D-brane charge [75, 76, 77]. We leave these questions for future work.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2021
    • (edited Jan 2nd 2021)

    and added this addendum (here):

    see also

    which still lists (on p. 112) among open problems of string field theory:

    “Are there topological invariants of the open string star algebra representing D-brane charges?”

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 15th 2021
    • (edited Mar 15th 2021)

    added publication data for:

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 1st 2021

    I have split off a sub-subsection “Twisted, equivariant and differential refinement”, but this still needs more work.

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2022

    For when the editing functionality is back, to add some references on the suggestion to use some kind of “holomorphic K-theory” to see D-brane charges on CYs:

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJun 24th 2023

    added pointer to:

    diff, v18, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2024
    • (edited Feb 10th 2024)

    added references on torsion D-brane charge:

    diff, v28, current

    • CommentRowNumber10.
    • CommentAuthorperezl.alonso
    • CommentTimeMay 23rd 2024

    pointer

    diff, v31, current

1 to 10 of 10

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