A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential. Issue 7 (29th April 2014)

• Record Type: Journal Article
• Authors: Ceresole, A.; Dall'Agata, G.; Ferrara, S.; Trigiante, M.; Van Proeyen, A.
• Is Part Of: Fortschritte der Physik. Volume 62:Issue 7(2014:Jul.)
• Page Start: 584
• Page End: 606
• Publication Date: 2014-04-29
• Subjects: Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.201400019
• Languages: English
• ISSNs: 0015-8208

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>We consider <inline-formula><alternatives><tex-math notation="LaTeX"><![CDATA[\documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document}]]></tex-math><inline-graphic xlink:href="ark:/27927/pghms0k6m2" mimetype="image" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></alternatives></inline-formula> supergravity theories that have the same spectrum as the R + R<sup>2</sup> supergravity, as predicted from the off‐shell counting of degrees of freedom. These theories describe standard <inline-formula><alternatives><tex-math notation="LaTeX"><![CDATA[\documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document}]]></tex-math><inline-graphic xlink:href="ark:/27927/pghms0k6hh" mimetype="image" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></alternatives></inline-formula> supergravity coupled to one or two long massive vector multiplets. The central charge is not gauged in these models and they have a Minkowski vacuum with <inline-formula><alternatives><tex-math notation="LaTeX"><![CDATA[\documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document}]]></tex-math><inline-graphic xlink:href="ark:/27927/pghms0k6g0" mimetype="image" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></alternatives></inline-formula> unbroken supersymmetry. The gauge symmetry, being non‐compact, is always broken. α‐deformed inflaton potentials are obtained, in the case of a single massive vector multiplet, with α = 1/3 and 2/3. The α = 1 potential (i.e. the Starobinsky potential) is also obtained, but only at the prize of having a single massive vector and a residual unbroken gauge symmetry. The inflaton corresponds to one of the Cartan fields of the non‐compact quaternionic‐Kähler cosets.</p> </abstract>