Jordan frame supergravity and inflation in the NMSSM

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.045003· OSTI ID:21420990

Ferrara, Sergio ^[1]; Kallosh, Renata; Linde, Andrei ^[2]; Marrani, Alessio; Van Proeyen, Antoine ^[3]

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1. Physics Department, Theory Unit, CERN, CH 1211, Geneva 23 (Switzerland)
2. Department of Physics, Stanford University, Stanford, California 94305 (United States)
3. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001 Leuven (Belgium)

We present a complete explicit N=1, d=4 supergravity action in an arbitrary Jordan frame with nonminimal scalar-curvature coupling of the form {Phi}(z,z)R. The action is derived by suitably gauge fixing the superconformal action. The theory has a modified Kaehler geometry, and it exhibits a significant dependence on the frame function {Phi}(z,z) and its derivatives over scalars, in the bosonic as well as in the fermionic part of the action. Under certain simple conditions, the scalar kinetic terms in the Jordan frame have a canonical form. We consider an embedding of the next-to-minimal supersymmetric standard model (NMSSM) gauge theory into supergravity, clarifying the Higgs inflation model recently proposed by Einhorn and Jones. We find that the conditions for canonical kinetic terms are satisfied for the NMSSM scalars in the Jordan frame, which leads to a simple action. However, we find that the gauge singlet field experiences a strong tachyonic instability during inflation in this model. Thus, a modification of the model is required to support the Higgs-type inflation.

• OSTI ID: 21420990
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COUPLING
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
INSTABILITY
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MODIFICATIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
STANDARD MODEL
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
TACHYONS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES