### Abstract

The structure of on-shell and off-shell 2D, (4,4) supersymmetric scalar multiplets is investigated, in components and in superspace. We reach the surprising result that there exist eight distinct on-shell versions related to each other by outer automorphisms of the N = 4 supersymmetry algebra. These provide a non-trivial generalization of the concept of twisted superfields from N = 2 to N = 4 systems. Due to the close relations between twisted multiplets and mirror symmetry in the case of the N = 2 theories, we conjecture on the possibility of non-trivial generalizations of mirror symmetry to the case of N = 4. The off-shell generalized tensor and relaxed N = 4 multiplets are introduced in superspace, and their universal invariant self-interaction is constructed.

Original language | English |
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Pages (from-to) | 111-118 |

Number of pages | 8 |

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

Volume | 418 |

Issue number | 1-2 |

Publication status | Published - 29 Jan 1998 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

*418*(1-2), 111-118.

**2D (4,4)1 hypermultiplets (I) : Diversity for N = 4 models.** / Gates, S. James; Ketov, Sergei V.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 418, no. 1-2, pp. 111-118.

}

TY - JOUR

T1 - 2D (4,4)1 hypermultiplets (I)

T2 - Diversity for N = 4 models

AU - Gates, S. James

AU - Ketov, Sergei V.

PY - 1998/1/29

Y1 - 1998/1/29

N2 - The structure of on-shell and off-shell 2D, (4,4) supersymmetric scalar multiplets is investigated, in components and in superspace. We reach the surprising result that there exist eight distinct on-shell versions related to each other by outer automorphisms of the N = 4 supersymmetry algebra. These provide a non-trivial generalization of the concept of twisted superfields from N = 2 to N = 4 systems. Due to the close relations between twisted multiplets and mirror symmetry in the case of the N = 2 theories, we conjecture on the possibility of non-trivial generalizations of mirror symmetry to the case of N = 4. The off-shell generalized tensor and relaxed N = 4 multiplets are introduced in superspace, and their universal invariant self-interaction is constructed.

AB - The structure of on-shell and off-shell 2D, (4,4) supersymmetric scalar multiplets is investigated, in components and in superspace. We reach the surprising result that there exist eight distinct on-shell versions related to each other by outer automorphisms of the N = 4 supersymmetry algebra. These provide a non-trivial generalization of the concept of twisted superfields from N = 2 to N = 4 systems. Due to the close relations between twisted multiplets and mirror symmetry in the case of the N = 2 theories, we conjecture on the possibility of non-trivial generalizations of mirror symmetry to the case of N = 4. The off-shell generalized tensor and relaxed N = 4 multiplets are introduced in superspace, and their universal invariant self-interaction is constructed.

UR - http://www.scopus.com/inward/record.url?scp=0001667011&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001667011&partnerID=8YFLogxK

M3 - Article

VL - 418

SP - 111

EP - 118

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 -