Brane anti-brane systems on Calabi-Yau spaces
Sep, 200026 pages
Published in:
- JHEP 02 (2001) 045
e-Print:
- hep-th/0009112 [hep-th]
Report number:
- CERN-TH-2000-174
Citations per year
Abstract:
We propose a correspondence between brane-antibrane systems and stable triples (E_1,E_2,T), where E_1,E_2 are holomorphic vector bundles and the tachyon T is a map between them. We demonstrate that, under the assumption of holomorphicity, the brane-antibrane field equations reduce to a set of vortex equations, which are equivalent to the mathematical notion of stability of the triple. We discuss some examples and show that the theory of stable triples suggests a new notion of BPS bound states and stability, and curious relations between brane-antibrane configurations and wrapped branes in higher dimensions.- membrane model
- field theory: Calabi-Yau
- fibre bundle
- tachyon: condensation
- vortex
- soliton: BPS
- bound state
- bibliography
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