Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave

TL;DR

This paper analyzes the partition functions of type IIA string theory on a pp-wave background, demonstrating modular invariance, constructing boundary states, classifying D-branes, and verifying open/closed string duality.

Contribution

It provides a detailed study of partition functions and D-brane configurations in type IIA string theory on pp-waves, highlighting modular invariance and duality properties.

Findings

Partition functions are modular invariant.

Boundary states and D-brane instantons are constructed and classified.

Cylinder amplitudes confirm open/closed string duality.

Abstract

We discuss partition functions of N=(4,4) type IIA string theory on the pp-wave background. This theory is shown to be modular invariant. The boundary states are constructed and possible D-brane instantons are classified. Then we calculate cylinder amplitudes in both closed and open string descriptions and check the open/closed string duality. Furthermore we consider general properties of modular invariant partition functions in the case of pp-waves.