Solitons in Seiberg-Witten Theory and D-branes in the Derived Category

Details Solitons in Seiberg-Witten Theory and D-branes in the Derived Category Solitons in Seiberg-Witten Theory and D-branes in the Derived Category

2002-11-13

arxiv.org/abs/hep-th/0211121v1

JHEP 0304 (2003) 049

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTex2e

Scientific paper

10.1088/1126-6708/2003/04/049

We analyze the "geometric engineering" limit of a type II string on a suitable Calabi-Yau threefold to obtain an N=2 pure SU(2) gauge theory. The derived category picture together with Pi-stability of B-branes beautifully reproduces the known spectrum of BPS solitons in this case in a very explicit way. Much of the analysis is particularly easy since it can be reduced to questions about the derived category of CP1.

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