Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds

TL;DR

This paper develops matrix string models for exact (2,2) string theories in backgrounds with non-constant RR-flux, revealing non-perturbative interactions and extending instanton analysis beyond flat backgrounds.

Contribution

It introduces new matrix string models with manifest supersymmetry in non-trivial RR backgrounds, connecting string theories to M-theory and non-perturbative effects.

Findings

Formulation of matrix string models with (2,2) supersymmetry in RR backgrounds

Extension of instanton asymptotic expansion to curved backgrounds

Derivation of a companion matrix model with eleven-dimensional supersymmetry

Abstract

We formulate matrix string models on a class of exact string backgrounds with non constant RR-flux parameterized by a holomorphic prepotential function and with manifest (2,2) supersymmetry. This lifts these string theories to M-theory exposing the non perturbative string interaction which is studied by generalizing the instanton asymptotic expansion, well established in the flat background case, to this more general case. We obtain also a companion matrix model with four manifest supersymmetries in eleven dimensions.