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Title: Modular invariant inflation

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1]; ;  [2]
  1. Department of Physics, Hokkaido University,Kita, Sapporo, 060-0810 (Japan)
  2. Department of Physics and Astrophysics, Nagoya University,Chikusa, Nagoya 464-8602 (Japan)

Modular invariance is a striking symmetry in string theory, which may keep stringy corrections under control. In this paper, we investigate a phenomenological consequence of the modular invariance, assuming that this symmetry is preserved as well as in a four dimensional (4D) low energy effective field theory. As a concrete setup, we consider a modulus field T whose contribution in the 4D effective field theory remains invariant under the modular transformation and study inflation drived by T. The modular invariance restricts a possible form of the scalar potenntial. As a result, large field models of inflation are hardly realized. Meanwhile, a small field model of inflation can be still accomodated in this restricted setup. The scalar potential traced during the slow-roll inflation mimics the hilltop potential V{sub ht}, but it also has a non-negligible deviation from V{sub ht}. Detecting the primordial gravitational waves predicted in this model is rather challenging. Yet, we argue that it may be still possible to falsify this model by combining the information in the reheating process which can be determined self-completely in this setup.

Sponsoring Organization:
SCOAP3, CERN, Geneva (Switzerland)
OSTI ID:
22572129
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 08; Other Information: PUBLISHER-ID: JCAP08(2016)014; OAI: oai:repo.scoap3.org:16724; cc-by 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); ISSN 1475-7516
Country of Publication:
United States
Language:
English

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