## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 7, Number 1 (2003), 1-23.

### A note on E-strings

#### 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.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 7, Number 1 (2003), 1-23.

**Dates**

First available in Project Euclid: 4 April 2005

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1112627972

**Mathematical Reviews number (MathSciNet)**

MR2014956

#### Citation

Iqbal, Amer. A note on E-strings. Adv. Theor. Math. Phys. 7 (2003), no. 1, 1--23. https://projecteuclid.org/euclid.atmp/1112627972