### Abstract

We review the non-anticommutative Q-deformations of N = (1, 1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) ∼ Spin(4) "Lorentz" symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed N = (1, 0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the Abelian case. For the charged hypermultiplet in an Abelian gauge superfield background we construct the deformed holomorphic effective action.

Original language | English |
---|---|

Pages (from-to) | 759-797 |

Number of pages | 39 |

Journal | Physics of Particles and Nuclei |

Volume | 39 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 Sep 2008 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics of Particles and Nuclei*,

*39*(5), 759-797. https://doi.org/10.1134/S1063779608050031

**Gauge theory in deformed N = (1, 1) superspace.** / Buchbinder, I. L.; Ivanov, E. A.; Lechtenfeld, O.; Samsonov, I. B.; Zupnik, B. M.

Research output: Contribution to journal › Article

*Physics of Particles and Nuclei*, vol. 39, no. 5, pp. 759-797. https://doi.org/10.1134/S1063779608050031

}

TY - JOUR

T1 - Gauge theory in deformed N = (1, 1) superspace

AU - Buchbinder, I. L.

AU - Ivanov, E. A.

AU - Lechtenfeld, O.

AU - Samsonov, I. B.

AU - Zupnik, B. M.

PY - 2008/9/1

Y1 - 2008/9/1

N2 - We review the non-anticommutative Q-deformations of N = (1, 1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) ∼ Spin(4) "Lorentz" symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed N = (1, 0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the Abelian case. For the charged hypermultiplet in an Abelian gauge superfield background we construct the deformed holomorphic effective action.

AB - We review the non-anticommutative Q-deformations of N = (1, 1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) ∼ Spin(4) "Lorentz" symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed N = (1, 0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the Abelian case. For the charged hypermultiplet in an Abelian gauge superfield background we construct the deformed holomorphic effective action.

UR - http://www.scopus.com/inward/record.url?scp=53849085204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53849085204&partnerID=8YFLogxK

U2 - 10.1134/S1063779608050031

DO - 10.1134/S1063779608050031

M3 - Article

VL - 39

SP - 759

EP - 797

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 5

ER -