Supergravity and Supersymmetry Breaking in Four and Five Dimensions

Abstract

We discuss supersymmetry breaking in the field-theoretical limit of the strongly-coupled heterotic string compactified on a Calabi-Yau manifold, from the different perspectives of four and five dimensions. The former applies to light degrees of freedom below the threshold for five-dimensional Kaluza-Klein excitations, whereas the five-dimensional perspective is also valid up to the Calabi-Yau scale. We show how, in the latter case, two gauge sectors separated in the fifth dimension are combined to form a consistent four-dimensional supergravity. In the lowest order of the ${\kappa }^{2/3}$ expansion, we show how a four-dimensional supergravity with gauge kinetic function $f_{1,2}=S$ is reproduced, and we show how higher-order terms give rise to four-dimensional operators that differ in the two gauge sectors. In the four-dimensional approach, supersymmetry is seen to be broken when condensates form on one or both walls, and the goldstino may have a non-zero dilatino component. As in the five-dimensional approach, the Lagrangian is not a perfect square, and we have not identified a vacuum with broken supersymmetry and zero vacuum energy. We derive soft supersymmetry-breaking terms for non-standard perturbative embeddings, that are relevant in more general situations such as type I/type IIB orientifold models.

17 pages, Latex

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Cited by in corpus (11)

• Supersymmetrizing Branes with Bulk in Five-Dimensional Supergravity
• On the Stability of the Classical Vacua in a Minimal SU(5) 5-D Supergravity Model
• Five dimensional supergravity in N = 1 superspace
• Mirage effects on the brane
• Remarks on the Racetrack Scheme
• On the brane coupling of Unified orbifolds with gauge interactions in the bulk
• On the radion mediation of the Supersymmetry breaking in N=2, D=5 Supergravity Orbifolds
• Supersymmetry and Vacuum Energy in Five-Dimensional Brane Worlds
• Six-dimensional origin of gravity mediated brane to brane supersymmetry breaking
• The soft supersymmetry breaking in D=5 supergravity compactified on S_1/Z_2 orbifolds
• Can we distinguish SUSY breaking terms between weakly and strongly coupled heterotic string theories ?