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JHEP11(2004)002 doi: 10.1088/1126-6708/2004/11/002
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Abstract.
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 
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.
Key words: Solitons Monopoles and Instantons; Brane Dynamics in Gauge Theories; Supersymmetry and Duality; Differential and Algebraic Geometry
E-print number: hep-th/0409090
Cited: by
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