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@ARTICLE{Broy:193082,
      author       = {Broy, Benedict and Pedro, Francisco and Westphal,
                      Alexander},
      title        = {{D}isentangling the f$({R})$ - {D}uality},
      reportid     = {PUBDB-2014-04513, IFT-UAM/CSIC-14-124. DESY-14-222.
                      arXiv:1411.6010},
      year         = {2014},
      note         = {OA},
      abstract     = {Motivated by UV realisations of Starobinsky-like inflation
                      models, we study generic exponential plateau-like potentials
                      to understand whether an exact $f(R)$-formulation may still
                      be obtained when the asymptotic shift-symmetry of the
                      potential is broken for larger field values. Potentials
                      which break the shift symmetry with rising exponentials at
                      large field values only allow for corresponding
                      $f(R)$-descriptions with a leading order term $R^{n}$ with
                      $1<n<2$, regardless of whether the duality is exact or
                      approximate. The $R^2$-term survives as part of a series
                      expansion of the function $f(R)$ and thus cannot maintain a
                      plateau for all field values. We further find a lean and
                      instructive way to obtain a function $f(R)$ describing
                      $m^2\phi^2$-inflation which breaks the shift symmetry with a
                      monomial, and corresponds to effectively logarithmic
                      corrections to an $R+R^2$ model. These examples emphasise
                      that higher order terms in $f(R)$-theory may not be
                      neglected if they are present at all. Additionally, we
                      relate the function $f(R)$ corresponding to chaotic
                      inflation to a more general Jordan frame set-up. In
                      addition, we consider $f(R)$-duals of two given UV examples,
                      both from supergravity and string theory. Finally, we
                      outline the CMB phenomenology of these models which show
                      effects of power suppression at low-$\ell$.},
      keywords     = {inflation: model (INSPIRE) / higher-order: 0 (INSPIRE) /
                      duality (INSPIRE) / string model (INSPIRE) / supergravity
                      (INSPIRE) / suppression (INSPIRE) / Jordan (INSPIRE) /
                      ultraviolet (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514) / HZ-NG-603 -
                      Strings and Cosmology - an Interface for Testing fundamental
                      Theories $(2015_IFV-HZ-NG-603)$ / SPLE - String
                      Phenomenology in the LHC Era (320421)},
      pid          = {G:(DE-HGF)POF2-514 / $G:(DE-HGF)2015_IFV-HZ-NG-603$ /
                      G:(EU-Grant)320421},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
      eprint       = {1411.6010},
      howpublished = {arXiv:1411.6010},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1411.6010;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/193082},
}