Chern-Simons Couplings for Dielectric F-Strings in Matrix String Theory

TL;DR

This paper calculates the non-abelian Chern-Simons couplings for coincident fundamental strings in type IIA and IIB Matrix string theories, providing explicit linear couplings derived from Matrix theory in curved backgrounds.

Contribution

It introduces the first detailed computation of non-abelian Chern-Simons couplings for Matrix strings, including dualities and background effects.

Findings

Derived linear couplings of closed string fields to Matrix strings.

Extended the understanding of Matrix string interactions in curved backgrounds.

Connected type IIA and IIB Matrix string theories through dualities.

Abstract

We compute the non-abelian couplings in the Chern-Simons action for a set of coinciding fundamental strings in both the type IIA and type IIB Matrix string theories. Starting from Matrix theory in a weakly curved background, we construct the linear couplings of closed string fields to type IIA Matrix strings. Further dualities give a type IIB Matrix string theory and a type IIA theory of Matrix strings with winding.