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nLab > Latest Changes: Dp-D(p+2)-brane bound state

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 6th 2019

    added the following pointers:

    Relation of Dp-D(p+2)-brane bound states to knot invariants via chord diagrams:

    • S. Ramgoolam, B. Spence, S. Thomas, Section 3.2 of: Resolving brane collapse with 1/N1/N corrections in non-Abelian DBI, Nucl. Phys. B703 (2004) 236-276 (arxiv:hep-th/0405256)

    • S. McNamara, Constantinos Papageorgakis, S. Ramgoolam, B. Spence, Appendix A of: Finite NN effects on the collapse of fuzzy spheres, JHEP 0605:060, 2006 (arxiv:hep-th/0512145)

    • Constantinos Papageorgakis, p. 161-162 of: On matrix D-brane dynamics and fuzzy spheres, 2006 (Papageorgakis06.pdf:file)

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 8th 2019

    added pointer also to

    • Simon McNamara, Section 4 of: Twistor Inspired Methods in Perturbative FieldTheory and Fuzzy Funnels, 2006 (pdf)

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 11th 2019
    • (edited Nov 11th 2019)

    am adding references on the lift to M-theory:

    The lift of Dp-D(p+2)-bound states in string theory to M2-M5-brane bound states/E-strings in M-theory, under duality between M-theory and type IIA string theory+T-duality, via generalization of Nahm’s equation:

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 1st 2019

    copied the section on fuzzy funnel shape observables as 𝔰𝔲(2)\mathfrak{su}(2)-weight systems on chord diagrams from fuzzy sphere also to here

    diff, v15, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2020
    • (edited Feb 1st 2020)

    added some actual content to the section “As fuzzy funnels” (here),

    highlighting in the end that with the gauge field taken into account, the fuzzy funnel system is not just a 𝔰𝔩(2,ℂ)\mathfrak{sl}(2,\mathbb{C})-rep, but in fact a 𝔤𝔩(2,ℂ)\mathfrak{gl}(2,\mathbb{C})

    (this is often ignored, but it is implicit in Gaiotto-Witten 08, Section 3.1.1)

    diff, v23, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2020

    added illustration of the passage from chord diagrams to fuzzy funnels (here)

    will add this graphics also to fuzzy funnel and maybe elsewhere

    diff, v24, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2020

    for readability I am removing the “Transversal intersection”-subjection, promoting all previous sub-sub-sections of that to sub-sections

    diff, v24, current

1 to 8 of 8

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