D-Branes and N=1 Supersymmetry
Michael R. Douglas (Rutgers, IHES)
TL;DR
This paper explores the connection between BPS D-branes in Calabi-Yau compactifications and Pi-stability in the derived category, providing a mathematical framework for understanding supersymmetric D-branes.
Contribution
It introduces Pi-stability as a new criterion for classifying BPS D-branes within the derived category of coherent sheaves.
Findings
Pi-stability characterizes BPS D-branes in Calabi-Yau compactifications.
Provides a mathematical formulation linking D-branes to derived categories.
Enhances understanding of supersymmetry conditions in string theory.
Abstract
We discuss the recent proposal that BPS D-branes in Calabi-Yau compactification of type II string theory are Pi-stable objects in the derived category of coherent sheaves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Quantum chaos and dynamical systems