Jordan frame supergravity and inflation in the NMSSM

By Sergio Ferrara, R. Kallosh, Andrei Linde, Alessio Marrani, A. Proeyen. 2010

201 citations recorded by the source corpus.

We present a complete explicit N=1, d=4 supergravity action in an arbitrary Jordan frame with non-minimal scalar-curvature coupling of the form $\Phi(z, \bar z)\, R$. 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 $\Phi (z, \bar z)$ 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/aec9c87769960deba12738b291b9669dac2dde3c

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In Astronomy and Astrophysics

  1. Andrei Linde
  2. R. Kallosh
  3. Sergio Ferrara
  4. Alessandro Strumia
  5. A. Proeyen
  6. G. Giudice
  7. Alessio Marrani
  8. J. Espinosa

In Nuclear and High Energy Physics

  1. Andrei Linde
  2. R. Kallosh
  3. Sergio Ferrara
  4. Alessandro Strumia
  5. A. Proeyen
  6. G. Giudice
  7. J. Espinosa
  8. Alessio Marrani

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