Strings in Gravimagnetic Fields

TL;DR

This paper solves the propagation of closed strings in Nappi-Witten space, constructing wavefunctions, free field realizations, and computing scattering amplitudes to advance understanding of string dynamics in curved backgrounds.

Contribution

It introduces a new free field realization of the current algebra and constructs quantum vertex operators for tachyons in Nappi-Witten space.

Findings

Constructed coherent wavefunctions approximating classical trajectories.

Developed a new free field realization using gamma, beta ghost system.

Computed N-point tachyon scattering amplitudes.

Abstract

We provide a complete solution of closed strings propagating in Nappi-Witten space. Based on the analysis of geodesics we construct the coherent wavefunctions which approximate as closely as possible the classical trajectories. We then present a new free field realization of the current algebra using the gamma, beta ghost system. Finally we construct the quantum vertex operators, for the tachyon, by representing the wavefunctions in terms of the free fields. This allows us to compute the three- and four-point amplitudes, and propose the general result for N-point tachyon scattering amplitude.