A point's point of view of stringy geometry
Abstract
The notion of a "point" is essential to describe the topology of spacetime. Despite this, a point probably does not play a particularly distinguished role in any intrinsic formulation of string theory. We discuss one way to try to determine the notion of a point from a worldsheet point of view. The derived category description of D-branes is the key tool. The case of a flop is analyzed and Pi-stability in this context is tied in to some ideas of Bridgeland. Monodromy associated to the flop is also computed via Pi-stability and shown to be consistent with previous conjectures.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- January 2003
- DOI:
- 10.1088/1126-6708/2003/01/002
- arXiv:
- arXiv:hep-th/0203111
- Bibcode:
- 2003JHEP...01..002A
- Keywords:
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- D-branes Differential and Algebraic Geometry;
- High Energy Physics - Theory
- E-Print:
- 15 pages, 3 figures, ref added