Mathematical Aspects of D-branes

Details Mathematical Aspects of D-branes Mathematical Aspects of D-branes

2004-02-03

arxiv.org/abs/hep-th/0402023v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, uses ws-procs9x6.cls, contribution to conference proceedings for QTS3

Scientific paper

In these notes we review recent work on describing D-branes with nonzero Higgs vevs in terms of sheaves, which gives a physical on-shell D-brane interpretation to more sheaves than previously understood as describing D-branes. The mathematical ansatz for this encoding is checked by comparing open string spectra between D-branes with nonzero Higgs vevs to Ext groups between the corresponding sheaves. We illustrate the general methods with a few examples.

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