Supersymmetric Field Theory from Supermatrix Models

TL;DR

This paper demonstrates that the continuum limit of certain supersymmetric matrix models can be described by a two-dimensional N=1 supersymmetric field theory involving a massless boson and chiral fermions, with one superfield having a non-trivial vacuum.

Contribution

It establishes a connection between one-dimensional N=2 supersymmetric matrix models and two-dimensional N=1 supersymmetric field theories, providing a new perspective on their continuum limits.

Findings

Continuum limit described by a 2D N=1 supersymmetric field theory.

Identification of a massless boson and two chiral fermions in the theory.

One chiral superfield exhibits a non-trivial vacuum expectation value.

Abstract

We show that the continuum limit of one-dimensional N=2 supersymmetric matrix models can be described by a two-dimensional interacting field theory of a massless boson and two chiral fermions. We interpret this field theory as a two-dimensional N=1 supersymmetric theory of two chiral superfields, in which one of the chiral superfields has a non-trivial vacuum expectation value.