Vacuum structure in a chiral R+Rn modification of pure supergravity

Sergio Ferrara, Alex Kehagias, Massimo Porrati

    Research output: Contribution to journalArticle

    Abstract

    We discuss an R+Rn class of modified N=1, D=4 supergravity models where the deformation is a monomial Rn|F in the chiral scalar curvature multiplet R of the "old minimal" auxiliary field formulation. The scalaron and goldstino multiplets are dual to each other in this theory. Since one of them is not dynamical, this theory, as recently shown, cannot be used as the supersymmetric completion of R+Rn gravity. This is confirmed by investigating the scalar potential and its critical points in the dual standard supergravity formulation with a single chiral multiplet with specific Kähler potential and superpotential. We study the vacuum structure of this dual theory and we find that there is always a supersymmetric Minkowski critical point which however is pathological for n≥3 as it corresponds to a corner (n=3) and a cusp (n>3) point of the potential. For n>3 an anti-de Sitter regular supersymmetric vacuum emerges. As a result, this class of models are not appropriate to describe inflation. We also find the mass spectrum and we provide a general formula for the masses of the scalars of a chiral multiplet around the anti-de Sitter critical point and their relation to osp(1, 4) unitary representations.

    Original languageEnglish (US)
    Pages (from-to)314-318
    Number of pages5
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume727
    Issue number1-3
    DOIs
    StatePublished - Nov 25 2013

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    supergravity
    fine structure
    critical point
    vacuum
    scalars
    formulations
    cusps
    mass spectra
    curvature
    gravitation

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Vacuum structure in a chiral R+Rn modification of pure supergravity. / Ferrara, Sergio; Kehagias, Alex; Porrati, Massimo.

    In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 727, No. 1-3, 25.11.2013, p. 314-318.

    Research output: Contribution to journalArticle

    Ferrara, Sergio ; Kehagias, Alex ; Porrati, Massimo. / Vacuum structure in a chiral R+Rn modification of pure supergravity. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2013 ; Vol. 727, No. 1-3. pp. 314-318.
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