Mathematical aspects of D-branes

@article{Sharpe2004MathematicalAO,
  title={Mathematical aspects of D-branes},
  author={Eric Sharpe},
  journal={arXiv: High Energy Physics - Theory},
  year={2004},
  pages={614-620}
}
  • E. Sharpe
  • Published 3 February 2004
  • Mathematics
  • arXiv: High Energy Physics - Theory
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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