Dirichlet branes, homological mirror symmetry, and stability
Algebraic Geometry
2021-03-22 v2 High Energy Physics - Theory
Abstract
We discuss some mathematical conjectures which have come out of the Dirichlet branes in superstring theory, focusing on the case of supersymmetric branes in Calabi-Yau compactification. This has led to the formulation of a notion of stability for objects in a derived category, contact with Kontsevich's homological mirror symmetry conjecture, and "physics proofs" for many of the subsequent conjectures based on it, such as the representation of Calabi-Yau monodromy by autoequivalences of the derived category.
Keywords
Cite
@article{arxiv.math/0207021,
title = {Dirichlet branes, homological mirror symmetry, and stability},
author = {Michael R. Douglas},
journal= {arXiv preprint arXiv:math/0207021},
year = {2021}
}
Comments
15 pp., amstex using special .sty (included). To appear in the 2002 ICM proceedings