Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore vs. Polchinski-Grothendieck

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dc.creatorLiu, Chien-Hao
dc.creatorYau, Shing-Tung
dc.date2009-01-03
dc.date.accessioned2026-07-07T12:24:30Z
dc.date.available2026-07-07T12:24:30Z
dc.descriptionIn this continuation of [L-Y1] and [L-L-S-Y], we explain how the Azumaya structure on D-branes together with a netted categorical quotient construction produces the same resolution of ADE orbifold singularities as that arises as the vacuum manifold/variety of the supersymmetric quantum field theory on the D-brane probe world-volume, given by Douglas and Moore [D-M] under the string-theory contents and constructed earlier through hyper-Kähler quotients by Kronheimer and Nakajima. This is consistent with the moral behind this project that Azumaya-type structure on D-branes themselves -- stated as the Polchinski-Grothendieck Ansatz in [L-Y1] -- gives a mathematical reason for many originally-open-string-induced properties of D-branes.
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0901.0342
dc.identifierhttp://arxiv.org/abs/0901.0342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214344
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectSymplectic Geometry
dc.subject14E15, 81T30
dc.titleAzumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore vs. Polchinski-Grothendieck
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