### Abstract

A new finite N = 2 supersymmetric sigma model with higher derivatives in four dimensions is formulated. The action of the model is determined in N = 2, d = 4 superspace in terms of N = 2 chiral real superfields. The Lagrangian of the theory under consideration is evaluated in N = 1 super-space and in components. By the methods of N = 2 superfield perturbation theory, it is shown that the constructed N = 2 model is ultraviolet-finite in all orders of quantum perturbation theory in 4-dimensional space-time.

Original language | English |
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Pages (from-to) | 355-361 |

Number of pages | 7 |

Journal | Soviet Physics Journal |

Volume | 33 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**A new finite N = 2 supersymmetric sigma model with higher derivatives in four dimensions.** / Ketov, S. V.

Research output: Contribution to journal › Article

*Soviet Physics Journal*, vol. 33, no. 4, pp. 355-361. https://doi.org/10.1007/BF00894221

}

TY - JOUR

T1 - A new finite N = 2 supersymmetric sigma model with higher derivatives in four dimensions

AU - Ketov, S. V.

PY - 1990/4

Y1 - 1990/4

N2 - A new finite N = 2 supersymmetric sigma model with higher derivatives in four dimensions is formulated. The action of the model is determined in N = 2, d = 4 superspace in terms of N = 2 chiral real superfields. The Lagrangian of the theory under consideration is evaluated in N = 1 super-space and in components. By the methods of N = 2 superfield perturbation theory, it is shown that the constructed N = 2 model is ultraviolet-finite in all orders of quantum perturbation theory in 4-dimensional space-time.

AB - A new finite N = 2 supersymmetric sigma model with higher derivatives in four dimensions is formulated. The action of the model is determined in N = 2, d = 4 superspace in terms of N = 2 chiral real superfields. The Lagrangian of the theory under consideration is evaluated in N = 1 super-space and in components. By the methods of N = 2 superfield perturbation theory, it is shown that the constructed N = 2 model is ultraviolet-finite in all orders of quantum perturbation theory in 4-dimensional space-time.

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UR - http://www.scopus.com/inward/citedby.url?scp=34249925309&partnerID=8YFLogxK

U2 - 10.1007/BF00894221

DO - 10.1007/BF00894221

M3 - Article

VL - 33

SP - 355

EP - 361

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 4

ER -