Non-Perturbative effective Lagrangians for super-matrix models

TL;DR

This paper develops a supersymmetric effective field theory for super-matrix models, capturing both perturbative and non-perturbative aspects of superstrings through a collective field approach.

Contribution

It introduces a new $d=2$ supersymmetric effective field theory derived from $d=1, ext{N}=2$ matrix models, extending the collective field theory with additional fields.

Findings

Constructed a $d=2$ supersymmetric effective field theory.

The theory is Poincare invariant.

Includes both perturbative and non-perturbative information about superstrings.

Abstract

We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this field theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory when the new fields are replaced with their vacuum expectation values. This effective theory is Poincare invariant and contains perturbative and non-perturbative information about the associated superstrings.