Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-06-10
Adv.Theor.Math.Phys. 7 (2003) 1-23
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, References added
Scientific paper
We study BPS states in type IIA string compactification on a local Calabi-Yau 3-fold which are related to the BPS states of the E-string. Using Picard-Lefshetz transformations of the 3-cycles on the mirror manifold we determine automorphisms of the K-theory of the compact divisor of the Calabi-Yau which maps certain D-brane configurations to a bound state of single D4-brane with multiple D0-branes. This map allows us to write down the generating functions for the multiplicity of these BPS states.
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