Heterotic N=(0,2) CP(N-1) Model with Twisted Masses

TL;DR

This paper develops a heterotic N=(0,2) CP(N-1) model with twisted masses to study non-Abelian string dynamics in massive N=2 SQCD, revealing supersymmetry breaking patterns depending on mass parameters.

Contribution

It introduces a gauge and geometric formulation of the heterotic model with a novel set of twisted masses and analyzes its supersymmetry breaking behavior.

Findings

N=(0,2) supersymmetry is classically broken when all mass parameters are nonzero.

Supersymmetry remains unbroken classically if at least one mass parameter vanishes.

Spontaneous supersymmetry breaking occurs nonperturbatively when some masses vanish.

Abstract

We present a two-dimensional heterotic N=(0,2) CP(N-1) model with twisted masses. It is supposed to describe internal dynamics of non-Abelian strings in massive N=2 SQCD with N=1-preserving deformations. We present gauge and geometric formulations of the world-sheet theory and check its N=(0,2) supersymmetry. It turns out that the set of twisted masses in the heterotic model has N complex mass parameters, rather than N-1. In the general case, when all mass parameters are nonvanishing, N=(0,2) supersymmetry is spontaneously broken already at the classical level. If at least one of the above mass parameters vanishes, then N=(0,2) is unbroken at the classical level. The spontaneous breaking of supersymmetry in this case occurs through nonperturbative effects.