Strings in an arbitrary constant magnetic field with arbitrary constant metric and stringy form factors

TL;DR

This paper quantizes open strings in a constant magnetic field with a non-factorized metric, analyzing vertex operators and form factors that reveal complex structure dependencies and amplitude suppressions in compact spaces.

Contribution

It introduces a method for quantizing open strings in arbitrary magnetic fields and metrics, and computes form factors showing their dependence on complex structures.

Findings

Form factors depend on Kaehler and complex structures.

Amplitude suppression occurs for certain KK states.

Vertex operators for dipole open and closed strings are characterized.

Abstract

We quantize the open string in an arbitrary constant magnetic field with a non factorized metric on a torus. We then discuss carefully the vertexes which describe the emission of dipole open strings and closed strings in the non compact limit. Finally we compute various stringy form factors which in the compact case induces a Kaehler and complex structure dependence and suppression of some amplitudes with KK states.