### Abstract

We investigate U(1)n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties. U(1) n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry are investigated. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets.The corresponding models are classifed by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.

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

Pages (from-to) | 189-197 |

Number of pages | 9 |

Journal | Fortschritte der Physik |

Volume | 63 |

Issue number | 3-4 |

DOIs | |

State | Published - Apr 1 2015 |

### Fingerprint

### Keywords

- Born-Infeld Theory
- Quantum field theory
- Supersymmetry

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Fortschritte der Physik*,

*63*(3-4), 189-197. https://doi.org/10.1002/prop.201400087

**Generalized born-infeld actions and projective cubic curves.** / Ferrara, S.; Porrati, M.; Sagnotti, A.; Stora, R.; Yeranyan, A.

Research output: Contribution to journal › Article

*Fortschritte der Physik*, vol. 63, no. 3-4, pp. 189-197. https://doi.org/10.1002/prop.201400087

}

TY - JOUR

T1 - Generalized born-infeld actions and projective cubic curves

AU - Ferrara, S.

AU - Porrati, M.

AU - Sagnotti, A.

AU - Stora, R.

AU - Yeranyan, A.

PY - 2015/4/1

Y1 - 2015/4/1

N2 - We investigate U(1)n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties. U(1) n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry are investigated. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets.The corresponding models are classifed by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.

AB - We investigate U(1)n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties. U(1) n supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry are investigated. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets.The corresponding models are classifed by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.

KW - Born-Infeld Theory

KW - Quantum field theory

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=84926094312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84926094312&partnerID=8YFLogxK

U2 - 10.1002/prop.201400087

DO - 10.1002/prop.201400087

M3 - Article

VL - 63

SP - 189

EP - 197

JO - Fortschritte der Physik

JF - Fortschritte der Physik

SN - 0015-8208

IS - 3-4

ER -