Advances in Theoretical and Mathematical Physics

Volume 7 (2003)

Number 1

A note on E-strings

Pages: 1 – 23

DOI: http://dx.doi.org/10.4310/ATMP.2003.v7.n1.a1

Author

Amer Iqbal

Abstract

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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