Superspace Higher Derivative Terms in Two Dimensions

TL;DR

This paper investigates superspace higher derivative terms in two-dimensional supersymmetric theories, revealing multiple vacua, some breaking supersymmetry, and providing new insights into dynamical generation of non-linear realizations and spontaneous supersymmetry breaking.

Contribution

It introduces and analyzes superspace higher derivative terms in 2D supersymmetric models, highlighting their role in vacuum structure and supersymmetry breaking mechanisms.

Findings

Models exhibit multiple vacua with varying supersymmetry properties.

New vacua enable dynamical generation of non-linear realizations.

Dimensional reduction connects 2D models to 4D supersymmetry breaking.

Abstract

We study $(2,2)$ and $(4,4)$ supersymmetric theories with superspace higher derivatives in two dimensions. A characteristic feature of these models is that they have several different vacua, some of which break supersymmetry. Depending on the vacuum, the equations of motion describe different propagating degrees of freedom. Various examples are presented which illustrate their generic properties. As a by-product we see that these new vacua give a dynamical way of generating non-linear realizations. In particular, our 2D $(4,4)$ example is the dimensional reduction of a 4D $N=2$ model, and gives a new way for the spontaneous breaking of extended supersymmetry.