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Title: Impacts of supersymmetric higher derivative terms on inflation models in supergravity

Abstract

We show the effects of supersymmetric higher derivative terms on inflation models in supergravity. The results show that such terms generically modify the effective kinetic coefficient of the inflaton during inflation if the cut off scale of the higher derivative operators is sufficiently small. In such a case, the η-problem in supergravity does not occur, and we find that the effective potential of the inflaton generically becomes a power type potential with a power smaller than two.

Authors:
;  [1]
  1. Department of Physics, Waseda University,Tokyo 169-8555 (Japan)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22454568
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 07; Other Information: PUBLISHER-ID: JCAP07(2015)020; OAI: oai:repo.scoap3.org:11076; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGICAL INFLATION; SUPERGRAVITY; SUPERSYMMETRY

Citation Formats

Aoki, Shuntaro, and Yamada, Yusuke. Impacts of supersymmetric higher derivative terms on inflation models in supergravity. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/07/020.
Aoki, Shuntaro, & Yamada, Yusuke. Impacts of supersymmetric higher derivative terms on inflation models in supergravity. United States. doi:10.1088/1475-7516/2015/07/020.
Aoki, Shuntaro, and Yamada, Yusuke. Tue . "Impacts of supersymmetric higher derivative terms on inflation models in supergravity". United States. doi:10.1088/1475-7516/2015/07/020.
@article{osti_22454568,
title = {Impacts of supersymmetric higher derivative terms on inflation models in supergravity},
author = {Aoki, Shuntaro and Yamada, Yusuke},
abstractNote = {We show the effects of supersymmetric higher derivative terms on inflation models in supergravity. The results show that such terms generically modify the effective kinetic coefficient of the inflaton during inflation if the cut off scale of the higher derivative operators is sufficiently small. In such a case, the η-problem in supergravity does not occur, and we find that the effective potential of the inflaton generically becomes a power type potential with a power smaller than two.},
doi = {10.1088/1475-7516/2015/07/020},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 07,
volume = 2015,
place = {United States},
year = {Tue Jul 14 00:00:00 EDT 2015},
month = {Tue Jul 14 00:00:00 EDT 2015}
}
  • We show the effects of supersymmetric higher derivative terms on inflation models in supergravity. The results show that such terms generically modify the effective kinetic coefficient of the inflaton during inflation if the cut off scale of the higher derivative operators is sufficiently small. In such a case, the η-problem in supergravity does not occur, and we find that the effective potential of the inflaton generically becomes a power type potential with a power smaller than two.
  • We study higher order corrections in new minimal supergravity models of a single scalar field inflation. The gauging in these models leads to a massive vector multiplet and the D-term potential for the inflaton field with a coupling g{sup 2} ∼ 10{sup −10}. In the de-Higgsed phase with vanishing g{sup 2}, the chiral and vector multiplets are non-interacting, and the potential vanishes. We present generic manifestly supersymmetric higher order corrections for these models. In particular, for a supersymmetric gravity model −R+R{sup 2} we derive manifestly supersymmetric corrections corresponding to R{sup n}. The dual version corresponds to a standard supergravity modelmore » with a single scalar and a massive vector. It includes, in addition, higher Maxwell curvature/scalar interaction terms of the Born-Infeld type and a modified D-term scalar field potential. We use the dual version of the model to argue that higher order corrections do not affect the last 60 e-foldings of inflation; for example the ξR{sup 4} correction is irrelevant as long as ξ < 10{sup 24}.« less
  • We present supersymmetric Lorentz Chern-Simons terms coupled to anti-de Sitter supergravity in three dimensions with an arbitrary number of supersymmetries. As an application to higher dimensions, we present analogous supersymmetric Lorentz Chern-Simons terms coupled to N=1 supergravity in 11 dimensions.
  • We construct general matter couplings of N = 1 four-dimensional supergravity for theories with curvature-square terms, suggested by D = 10 anomaly-free supergravity and superstrings. The scalar potential induced by the supersymmetric completion of the Euler characteristic is derived and its positivity properties discussed. Some implications for the nonpolynomial structure of ten-dimensional supergravity are drawn.
  • The degree of freedom and helicity count of the fermionic sector in generic superconformal plus supergravity models is exhibited by explicit elimination of all constraints in the 3+1 decomposition of the action, which is given entirely in terms of gauge-invariant variables. In the purely superconformal, massless, case, the third-derivative action describes three helicity-(3/2) excitations and one of helicity (1/2). When mass is introduced by adding a Rarita-Schwinger term, a new helicity-(1/2) excitation appears, and the total spectrum now consists of two massive spin-(3/2) modes plus a massless one. In both cases, the excitations unavoidably emerge in sets with both signsmore » of the Hilbert-space metric; some implications of this ghost behavior are discussed.« less