Multiple fundamental strings and waves to non-linear order in the background fields

TL;DR

This paper establishes the full-order Chern-Simons actions for multiple fundamental strings and gravitational waves in background fields, ensuring gauge invariance and analyzing non-Abelian gauge transformations.

Contribution

It provides a complete formulation of the Chern-Simons actions for multiple strings and waves, including non-linear background interactions and gauge invariance.

Findings

Full-order Chern-Simons actions derived

Gauge invariance verified in the non-Abelian context

Analysis of non-Abelian gauge transformations of world-volume fields

Abstract

The Chern-Simons actions of the multiple fundamental string and the multiple gravitational wave are established to full order in the background fields. Gauge invariance is checked. Special attention is drawn to the non-Abelian gauge transformations of the world-volume fields.