2002/06/30 by Amer Iqbal
Physics and Astronomy · #hep-th
published as Adv.Theor.Math.Phys. 7 (2003) 1-23 · 20 pages, References added
arxiv created 2003/12/24 · arxiv updated 2009/11/30
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.