Simple Sinflaton-less $alpha$-attractors. (arXiv:1901.09046v1 [hep-th])
<a href="http://arxiv.org/find/hep-th/1/au:+Kallosh_R/0/1/0/all/0/1">Renata Kallosh</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Yamada_Y/0/1/0/all/0/1">Yusuke Yamada</a>
We construct the simplest inflationary $alpha$-attractor models in
supergravity: it has only one scalar, the inflaton. There is no sinflaton since
the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton
depends on fermion bilinears. When the local supersymmetry is gauge-fixed,
these models have only one single real scalar (the inflaton), a graviton and a
massive gravitino. The sinflaton, sgoldstino and inflatino are all absent from
the physical spectrum in the unitary gauge. The orthogonality condition leads
to the simplest K”ahler potential for the inflaton, while preserving the
Poincar’e disk geometry of $alpha$-attractors. The models are particularly
simple in the framework of the $overline {D3}$ induced geometric inflation.
We construct the simplest inflationary $alpha$-attractor models in
supergravity: it has only one scalar, the inflaton. There is no sinflaton since
the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton
depends on fermion bilinears. When the local supersymmetry is gauge-fixed,
these models have only one single real scalar (the inflaton), a graviton and a
massive gravitino. The sinflaton, sgoldstino and inflatino are all absent from
the physical spectrum in the unitary gauge. The orthogonality condition leads
to the simplest K”ahler potential for the inflaton, while preserving the
Poincar’e disk geometry of $alpha$-attractors. The models are particularly
simple in the framework of the $overline {D3}$ induced geometric inflation.
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