Flat monodromies and a Moduli Space Size Conjecture

Hebecker, Arthur (Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany) ; Henkenjohann, Philipp (Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany) ; Witkowski, Lukas  (APC (UMR du CNRS 7164), Université Paris 7, CNRS/IN2P3, CEA/IRFU, Obs. de Paris, Sorbonne Paris Cité, Bâtiment Condorcet, F-75205, Paris Cedex 13, France)

07 December 2017

Abstract: We investigate how super-Planckian axions can arise when type IIB 3-form flux is used to restrict a two-axion field space to a one-dimensional winding trajectory. If one does not attempt to address notoriously complicated issues like Kähler moduli stabilization, SUSY-breaking and inflation, this can be done very explicitly. We show that the presence of flux generates flat monodromies in the moduli space which we therefore call ‘Monodromic Moduli Space’. While we do indeed find long axionic trajectories, these are non-geodesic. Moreover, the length of geodesics remains highly constrained, in spite of the (finite) monodromy group introduced by the flux. We attempt to formulate this in terms of a ‘Moduli Space Size Conjecture’. Interesting mathematical structures arise in that the relevant spaces turn out to be fundamental domains of congruence subgroups of the modular group. In addition, new perspectives on inflation in string theory emerge.


Published in: JHEP 1712 (2017) 033
Published by: Springer/SISSA
DOI: 10.1007/JHEP12(2017)033
arXiv: 1708.06761
License: CC-BY-4.0



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