# Inflation with large supergravity corrections

Mazumdar, Anupam and Nadathur, Seshadri and Stephens, Philip (2012) Inflation with large supergravity corrections. Physical Review D – Particles and Fields, 85 (4). ISSN 1550-2368

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## Abstract

It is well known that large Hubble-induced supergravity corrections to the inflaton field can ruin the flatness of the potential, thus creating a tension between slow-roll inflation and supergravity. In this paper we show that it is possible to obtain a {\it cosmologically flat} direction, embedded within the minimal supersymmetric standard model, despite very large super-Hubble corrections. As an illustration, we show that a flat direction which is lifted by an $n=6$ operator matches the current cosmic microwave background data for a wide range of the Hubble parameter, $10^{5} {\rm GeV}\lesssim H_{inf}\lesssim 10^{8.5}$ GeV. Our approach can be applied to any $F$-term inflationary model.

Item Type: Article Physical Review D – Particles and Fields 5 pages, 1 figure. This version updated to match published version in PRD. Title changed in accordance with journal request. © 2012 American Physical Society Q Science > QC Physics Faculty of Science and Technology > Physics 55936 ep_importer_pure 19 Jul 2012 16:39 Yes Published 10 Aug 2016 01:18 http://eprints.lancs.ac.uk/id/eprint/55936