Massive vector multiplet with Dirac-Born-Infeld and new Fayet-Iliopoulos terms in supergravity
Hiroyuki Abe (Department of Physics, Waseda University, Tokyo, 169-8555, Japan); Yermek Aldabergenov (Department of Physics, Tokyo Metropolitan University, Minami-ohsawa 1-1, Hachioji-shi, Tokyo, 192-0397, Japan, Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Ave., Tomsk, 634050, Russian Federation); Shuntaro Aoki (Department of Physics, Waseda University, Tokyo, 169-8555, Japan); Sergei Ketov (Kavli Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Chiba, 277-8568, Japan, Department of Physics, Tokyo Metropolitan University, Minami-ohsawa 1-1, Hachioji-shi, Tokyo, 192-0397, Japan, Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Ave., Tomsk, 634050, Russian Federation)
We propose a four-dimensional N = 1 supergravity-based Starobinsky-type inflationary model in terms of a single massive vector multiplet, whose action includes the Dirac-Born-Infeld-type kinetic terms and a generalized (new) Fayet-Iliopoulos-type term, without gauging the R-symmetry. The bosonic action and the scalar potential are computed. The inflaton is the superpartner of the Goldstino in our model, and supersymmetry is spontaneously broken after inflation by the D-type mechanism, whose scale is related to the value of the cosmological constant.