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1996•Physics Letters BOpen access

Minimal Higgs branch for the breaking of half of the supersymmetries in N = 2 supergravity

S. Ferrara, L. Girardello, Massimo Porrati

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Abstract

It is shown that the minimal Higgs sector of a generic N = 2 supergravity theory with unbroken N = 1 supersymmetry must contain a Higgs hypermultiplet and a vector multiplet. When the multiplets parametrize the quaternionic manifold SO(4,1)SO(4), and the special Kähler manifold SU(1,1)U(1), respectively, a vanishing vacuum energy with a sliding massive spin 32 multiplet is obtained. Potential applications to N = 2 low energy effective actions of superstrings are briefly discussed.

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What this paper is about

It is shown that the minimal Higgs sector of a generic N = 2 supergravity theory with unbroken N = 1 supersymmetry must contain a Higgs hypermultiplet and a vector multiplet. When the multiplets parametrize the quaternionic manifold SO(4,1)SO(4), and the special Kähler manifold SU(1,1)U(1), respectively, a vanishing vacuum energy with a sliding massive spin 32 multiplet is obtained. Potential applications to N = 2 low energy effective actions of superstrings are briefly discussed.

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Available abstract

It is shown that the minimal Higgs sector of a generic N = 2 supergravity theory with unbroken N = 1 supersymmetry must contain a Higgs hypermultiplet and a vector multiplet. When the multiplets parametrize the quaternionic manifold SO(4,1)SO(4), and the special Kähler manifold SU(1,1)U(1), respectively, a vanishing vacuum energy with a sliding massive spin 32 multiplet is obtained. Potential applications to N = 2 low energy effective actions of superstrings are briefly discussed.

Key concepts: Multiplet, Supergravity, Physics, Higgs boson, Supersymmetry, Superstring theory, Supersymmetry breaking, Manifold (fluid mechanics)

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