### Abstract

Two nonlinear σ models are discussed which have N=2 supersymmetry in four dimensions. The first is globally supersymmetric on a noncompact field manifold. The second model involves a compact maniflod and requires coupling to N=2 supergravity for consistency. Upon reduction to three and two dimensions, both models have N=4 supersymmetry. In addition, the global model has vanishing (one-loop) charge renormalization in two dimensions.

Original language | English (US) |
---|---|

Pages (from-to) | 71-74 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 90 |

Issue number | 1-2 |

DOIs | |

State | Published - Feb 11 1980 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Nonlinear σ models with extended supersymmetry in four dimensions.** / Curtright, Thomas; Freedman, Daniel Z.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 90, no. 1-2, pp. 71-74. https://doi.org/10.1016/0370-2693(80)90054-4

}

TY - JOUR

T1 - Nonlinear σ models with extended supersymmetry in four dimensions

AU - Curtright, Thomas

AU - Freedman, Daniel Z.

PY - 1980/2/11

Y1 - 1980/2/11

N2 - Two nonlinear σ models are discussed which have N=2 supersymmetry in four dimensions. The first is globally supersymmetric on a noncompact field manifold. The second model involves a compact maniflod and requires coupling to N=2 supergravity for consistency. Upon reduction to three and two dimensions, both models have N=4 supersymmetry. In addition, the global model has vanishing (one-loop) charge renormalization in two dimensions.

AB - Two nonlinear σ models are discussed which have N=2 supersymmetry in four dimensions. The first is globally supersymmetric on a noncompact field manifold. The second model involves a compact maniflod and requires coupling to N=2 supergravity for consistency. Upon reduction to three and two dimensions, both models have N=4 supersymmetry. In addition, the global model has vanishing (one-loop) charge renormalization in two dimensions.

UR - http://www.scopus.com/inward/record.url?scp=0001798327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001798327&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(80)90054-4

DO - 10.1016/0370-2693(80)90054-4

M3 - Article

AN - SCOPUS:0001798327

VL - 90

SP - 71

EP - 74

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -