### Abstract

There exist two variants of the old minimal formulation for N = 1 supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as three-form supergravity and complex three-form supergravity, respectively. For each of them, we present a super-Weyl invariant coupling of supergravity to the supermembrane and prove kappa-invariance of the resulting action. In the case of three-form supergravity, we demonstrate that the action constructed reduces to that given by Ovrut and Waldram twenty years ago upon imposing a super-Weyl gauge in which the compensating three-form superfield is set to a constant.

Language | English |
---|---|

Article number | 5 |

Journal | Journal of High Energy Physics |

Volume | 2017 |

Issue number | 12 |

DOIs | |

State | Published - 1 Dec 2017 |

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### Cite this

*Journal of High Energy Physics*,

*2017*(12), [5]. DOI: 10.1007/JHEP12(2017)005

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*Journal of High Energy Physics*, vol 2017, no. 12, 5. DOI: 10.1007/JHEP12(2017)005

**Complex three-form supergravity and membranes.** / Kuzenko, Sergei M.; Tartaglino-Mazzucchelli, Gabriele.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Complex three-form supergravity and membranes

AU - Kuzenko,Sergei M.

AU - Tartaglino-Mazzucchelli,Gabriele

PY - 2017/12/1

Y1 - 2017/12/1

N2 - There exist two variants of the old minimal formulation for N = 1 supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as three-form supergravity and complex three-form supergravity, respectively. For each of them, we present a super-Weyl invariant coupling of supergravity to the supermembrane and prove kappa-invariance of the resulting action. In the case of three-form supergravity, we demonstrate that the action constructed reduces to that given by Ovrut and Waldram twenty years ago upon imposing a super-Weyl gauge in which the compensating three-form superfield is set to a constant.

AB - There exist two variants of the old minimal formulation for N = 1 supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as three-form supergravity and complex three-form supergravity, respectively. For each of them, we present a super-Weyl invariant coupling of supergravity to the supermembrane and prove kappa-invariance of the resulting action. In the case of three-form supergravity, we demonstrate that the action constructed reduces to that given by Ovrut and Waldram twenty years ago upon imposing a super-Weyl gauge in which the compensating three-form superfield is set to a constant.

KW - p-branes

KW - Supergravity Models

KW - Superspaces

UR - http://www.scopus.com/inward/record.url?scp=85037657981&partnerID=8YFLogxK

U2 - 10.1007/JHEP12(2017)005

DO - 10.1007/JHEP12(2017)005

M3 - Article

VL - 2017

JO - JOURNAL OF HIGH ENERGY PHYSICS

T2 - JOURNAL OF HIGH ENERGY PHYSICS

JF - JOURNAL OF HIGH ENERGY PHYSICS

SN - 1029-8479

IS - 12

M1 - 5

ER -