Solitons in Seiberg-Witten Theory and D-branes in the Derived Category
arXiv:hep-th/0211121 · doi:10.1088/1126-6708/2003/04/049
Abstract
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.
20 pages, LaTex2e
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- D-brane categories
- All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
- Killing-Yano equations and G-structures
- Black holes in Goedel-type universes with a cosmological constant
- Crystal Melting and Black Holes
- Geometric engineering of (framed) BPS states
- C^2/Z_n Fractional branes and Monodromy
- Invariant Killing spinors in 11D and type II supergravities
- On the C^n/Z_m fractional branes
- Mapping the G-structures and supersymmetric vacua of five-dimensional N=4 supergravity
- Branes in hearts with perverse sheaves