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A point's point of view of stringy geometry
Author(s) -
Paul S. Aspinwall
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/01/002
Subject(s) - worldsheet , point (geometry) , monodromy , theoretical physics , context (archaeology) , spacetime , stability (learning theory) , string (physics) , string theory , space (punctuation) , physics , mathematics , pure mathematics , topology (electrical circuits) , geometry , computer science , quantum mechanics , combinatorics , history , non critical string theory , archaeology , machine learning , operating system
The notion of a "point" is essential to describe the topology of spacetime.Despite this, a point probably does not play a particularly distinguished rolein any intrinsic formulation of string theory. We discuss one way to try todetermine the notion of a point from a worldsheet point of view. The derivedcategory description of D-branes is the key tool. The case of a flop isanalyzed and Pi-stability in this context is tied in to some ideas ofBridgeland. Monodromy associated to the flop is also computed via Pi-stabilityand shown to be consistent with previous conjectures.Comment: 15 pages, 3 figures, ref adde

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