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D-Branes and Scheme Theory

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arxiv hep-th/0008150 v2 pith:6LYS2KRM submitted 2000-08-18 hep-th

D-Branes and Scheme Theory

classification hep-th
keywords schemetheoryd-branesideasappearancebriefcasescoincident
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this highly speculative note we conjecture that it may be possible to understand features of coincident D-branes, such as the appearance of enhanced non-abelian gauge symmetry, in a purely geometric fashion, using a form of geometry known as scheme theory. We give a very brief introduction to some relevant ideas from scheme theory, and point out how these ideas work in special cases.

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  1. M-theory geometries from five-brane webs, seven-branes, and T-branes

    hep-th 2026-07 conditional novelty 7.0

    T-dualizing D5/D7 junctions yields smooth D6 curves whose spectral data (from coherent sheaves) give explicit complex-structure deformations of the dual M-theory threefold, with s-rule violations appearing as poles.