Superconformal symmetry, NMSSM, and inflation
By Sergio Ferrara, R. Kallosh, Andrei Linde, Alessio Marrani, A. Proeyen. 2010
260 citations recorded by the source corpus.
We identify a particularly simple class of supergravity models describing superconformal coupling of matter to supergravity. In these models, which we call the canonical superconformal supergravity models, the kinetic terms in the Jordan frame are canonical, and the scalar potential is the same as in the global theory. The pure supergravity part of the total action has a local Poincare supersymmetry, whereas the chiral and vector multiplets coupled to supergravity have a larger local superconformal symmetry. The scale-free globally supersymmetric theories, such as the NMSSM with a scale-invariant superpotential, can be naturally embedded into this class of theories. After the supergravity embedding, the Jordan frame scalar potential of such theories remains scale free; it is quartic, it contains no mass terms, no nonrenormalizable terms, no cosmological constant. The local superconformal symmetry can be broken by additional terms, which, in the small field limit, are suppressed by the gravitational coupling. This can be achieved by introducing the nonminimal scalar-curvature coupling, and by taking into account interactions with a hidden sector. In this approach, the smallness of the mass parameters in the NMSSM may be traced back to the original superconformal invariance. This allows one to address the {mu} problem and themore » cosmological domain wall problem in this model, and to implement chaotic inflation in the NMSSM. We discuss the gravitino problem in the NMSSM inflation, as well as the possibility to obtain a broad class of new versions of chaotic inflation in supergravity.« less
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3629f469e17e51c546f14139c7728d64cbf79ae4
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Citations in the corpus
- Cosmology with nilpotent superfields (2014, methodology): “These models were further developed in [22] with the emphasis on the Jordan frame and transition to Einstein frame supergravity, while building Higgs inflation and NMSSM inflationary models.”
- Universality class in conformal inflation (2013, methodology): “In the gauge where we fix the local conformal as well as a local U(1) symmetry by taking X0 = X̄0 = √ 3 and with X1 ≡ Φ we recover, following [6, 7], a supergravity version of the superconformal model with K = −3 ln [ 1− |Φ| 2 + |S2| 3 + ζ (SS̄)2 3− |Φ|2 ] , (5.”
- New models of chaotic inflation in supergravity (2010, methodology): “2 There is also an extra kinetic term for scalars from the auxiliary vector fields [19, 21], which vanishes when scalars are either real or imaginary.”
- Non-minimal Inflationary Attractors (2013, methodology): “The superconformal approach to supergravity in the form employed in [7] is described in detail in the recent book by Freedman and Van Proeyen [9], where one can find also the references to the original work.”
- Superconformal generalizations of the Starobinsky model (2013, methodology): “In this paper we will provide a consistent implementation of the Starobinsky inflationary model in superconformal theory and supergravity using methods developed in [17] and in [10, 12, 14, 18].”
- Higgs Inflation (2018, background): “An estimate11 of the cutoff scale can be obtained by expanding the fields around their background values, such that all kind of higher dimensional operators appear in the resulting action [80, 147].”
- Inflationary Cosmology after Planck 2013 (2014, background): “An investigation performed in [117, 124] demonstrated that the”
- Superconformal generalization of the chaotic inflation model (2013, methodology): “In the next section we will show that one can do it in a model of two complex scalar fields, along the lines of the superconformal models studied in [10, 12].”