Spontaneous Breaking of N=2 to N=1 in Rigid and Local Supersymmetric Theories

TL;DR

The paper investigates spontaneous breaking of N=2 to N=1 in both rigid and local supersymmetric theories. It demonstrates that partial breaking induced by electric and magnetic Fayet-Iliopoulos terms in rigid theories can be obtained as a flat limit of N=2 supergravity models with partial super-Higgs in the observable sector. The authors reinterpret the standard current algebra constraint by introducing a field-independent term and show how the APT model arises from a suitable flat limit of a gauged supergravity model, reproducing the fermion shifts and the scalar potential. They analyze the parameter conditions under which partial breaking persists with vanishing cosmological constant and discuss runaways for generic choices, highlighting implications for string-inspired effective theories.

Abstract

We analyze the relation between rigid and local supersymmetric N=2 field theories, when half of the supersymmetries are spontaneously broken. In particular, we show that the recently found partial supersymmety breaking induced by electric and magnetic Fayet-Iliopoulos terms in rigid theories can be obtained by a suitable flat limit of previously constructed N=2 supergravity models with partial super-Higgs in the observable sector.