Superconformal generalizations of auxiliary vector modified polynomial f(R) theories

Abstract

We present the supersymmetric completion of the auxiliary vector modified polynomial $f(R)$ theories in their dual scalar-tensor theory formulation that interpolate between the auxiliary vector modified polynomial $f(R)$ theories and chaotic inflation with the power-law potential $V(��) \propto ��^p$. The supersymmetrization is achieved in two steps: First, we introduce a superconformal theory for three chiral multiplets by choosing a conformal K��hler 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��hler 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��hler potential which we discuss their compatibility against the inflationary observables from the latest Planck data.v3., title changed, various clarifications added, typos fixed, 8 pages, 2 figures, version appeared in JCAP