Avijit Mukherjee et al JHEP11(2004)002 doi:10.1088/1126-6708/2004/11/002
Strings, junctions and stability
Avijit Mukherjee1, Subir Mukhopadhyay2 and Koushik Ray3
Show affiliationsIdentification 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 
1 in this limit. We identify the pronged strings with triangles in the underlying triangulated category using Π-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 Π-stability through the central charges of the corresponding objects.
- Keywords
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Differential and Algebraic Geometry
Solitons Monopoles and Instantons
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E-print Number: hep-th/0409090
Cited: by |
Refers: to
- PACS
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11.25.Wx String and brane phenomenology
11.10.Lm Nonlinear or nonlocal theories and models
- Subjects
- Dates
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Issue 11 (November 2004)
Received 15 September 2004, accepted for publication 1 November 2004
Published 19 December 2004
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Strings, junctions and stability
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