Strings, Junctions and Stability

Details Strings, Junctions and Stability Strings, Junctions and Stability

2004-09-07

arxiv.org/abs/hep-th/0409090v2

JHEP0411:002,2004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX; references added. typos corrected

Scientific paper

10.1088/1126-6708/2004/11/002

Identification of string junction states of pure SU(2) Seiberg-Witten theory as B-branes wrapped on a Calabi-Yau manifold in the geometric engineering limit is discussed. The wrapped branes are known to correspond to objects in the bounded derived category of coherent sheaves on the projective line $\cp{1}$ in this limit. We identify the pronged strings with triangles in the underlying triangulated category using Pi-stability. The spiral strings in the weak coupling region are interpreted as certain projective resolutions of the invertible sheaves. We discuss transitions between the spiral strings and junctions using the grade introduced for Pi-stability through the central charges of the corresponding objects.

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