Superconformal Generalizations of $R^n$–$phi^p$ Interpolating Inflationary Theories. (arXiv:1912.01919v1 [hep-th])
<a href="http://arxiv.org/find/hep-th/1/au:+Boran_S/0/1/0/all/0/1">Sibel Boran</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Kahya_E/0/1/0/all/0/1">Emre Onur Kahya</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Ozdemir_N/0/1/0/all/0/1">Nese Ozdemir</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Ozkan_M/0/1/0/all/0/1">Mehmet Ozkan</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Zorba_U/0/1/0/all/0/1">Utku Zorba</a>

We present the supersymmetric completion of the auxiliary vector modified
polynomial $f(R)$ theories that interpolate between the polynomial $f(R)$
theories and chaotic inflation with the power-law potential $V(phi) propto
phi^p$. The supersymmetrization is achieved in two steps: First, we introduce
a superconformal theory for three chiral multiplets by choosing a conformal
K”ahler potential and a conformal superpotential. In the second step, we use
one of the chiral multiplets to compensate for the superconformal symmetries
and achieve the K”ahler potential and the superpotential while the other two
are used to realize inflation with a stable inflationary trajectory. The
stability of the inflationary trajectory requires certain deformations to the
K”ahler potential which we discuss their compatibility against the
inflationary observables from the latest Planck data.

We present the supersymmetric completion of the auxiliary vector modified
polynomial $f(R)$ theories that interpolate between the polynomial $f(R)$
theories and chaotic inflation with the power-law potential $V(phi) propto
phi^p$. The supersymmetrization is achieved in two steps: First, we introduce
a superconformal theory for three chiral multiplets by choosing a conformal
K”ahler potential and a conformal superpotential. In the second step, we use
one of the chiral multiplets to compensate for the superconformal symmetries
and achieve the K”ahler potential and the superpotential while the other two
are used to realize inflation with a stable inflationary trajectory. The
stability of the inflationary trajectory requires certain deformations to the
K”ahler potential which we discuss their compatibility against the
inflationary observables from the latest Planck data.

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