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Cited by 194

The DOI matches its Crossref record; 100 of the 100 references it cites were found in a registry or an index.

The powers of monodromy

McAllister, Liam, Silverstein, Eva, Westphal, Alexander, Wrase, Timm·2014·Journal of High Energy Physics
DOI 10.1007/jhep09(2014)123
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Abstract

Flux couplings to string theory axions yield super-Planckian field ranges along which the axion potential energy grows. At the same time, other aspects of the physics remain essentially unchanged along these large displacements, respecting a discrete shift symmetry with a sub-Planckian period. After a general overview of this monodromy effect and its application to large-field inflation, we present new classes of specific models of monodromy inflation, with monomial potentials μ 4−p ϕ p . A key simplification in these models is that the inflaton potential energy plays a leading role in moduli stabilization during inflation. The resulting inflaton-dependent shifts in the moduli fields lead to an effective flattening of the inflaton potential, i.e. a reduction of the exponent from a fiducial value p 0 to p < p 0. We focus on examples arising in compactifications of type IIB string theory on products of tori or Riemann surfaces, where the inflaton descends from the NS-NS two-form potential B 2, with monodromy induced by a coupling to the R-R field strength F 1. In this setting we exhibit models with p = 2/3, 4/3, 2, and 3, corresponding to predictions for the tensor-to-scalar ratio of r ≈ 0.04, 0.09, 0.13, and 0.2, respectively. Using mirror symmetry, we also motivate a second class of examples with the role of the axions played by the real parts of complex structure moduli, with fluxes inducing monodromy.

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Figures

Figure 1 On the left, a sketch of a large field range with new effects - such as altered couplings or new light states - appearing after each displacement of order ∼ M P , parameterizing our ignorance of quantum gravity. Such features could arise both at the classical and the quantum level. On the right, the structure of the potential along axion directions (and their various duals) in string theory. The whole structure has a sub-Planckian period f , but on each branch the field can reach a large field range. The potential energy grows with each cycle around the underlying period f , while other conditions - such as the spectrum of branes wrapping the cycles threaded by the higher dimensional potential fields yielding axions - remain the same each time around. This suppresses many dangerous effects and leads to a controllable large field range. The result is a radiatively-stable potential as in chaotic inflation with a monomial potential.
Figure 1 On the left, a sketch of a large field range with new effects - such as altered couplings or new light states - appearing after each displacement of order ∼ M P , parameterizing our ignorance of quantum gravity. Such features could arise both at the classical and the quantum level. On the right, the structure of the potential along axion directions (and their various duals) in string theory. The whole structure has a sub-Planckian period f , but on each branch the field can reach a large field range. The potential energy grows with each cycle around the underlying period f , while other conditions - such as the spectrum of branes wrapping the cycles threaded by the higher dimensional potential fields yielding axions - remain the same each time around. This suppresses many dangerous effects and leads to a controllable large field range. The result is a radiatively-stable potential as in chaotic inflation with a monomial potential.CC-BY · From the PDF
Figure 2 An example of a very symmetric Riemann surface configuration, with the loci along which various sectors of 7-branes sit marked in blue. As drawn, the 7-branes lie on contractible cycles, thereby automatically satisfying Gauss's law constraints. To create a Riemann surface with additional symmetry, we can impose periodic boundary conditions, cutting out holes where marked by single or double slashes and identifying them as indicated. In that case each 7-brane at one location needs to be balanced by an antibrane elsewhere, a configuration also consistent with the setup in [73]. The F 1 flux and legs of the B fi eld described in the text lie along the nontrivial a -cycles and b -cycles of the manifold. When microscopic consistency conditions from the orientifold projection require components of B to vanish at the positions of the 7-branes, this can be achieved via suitable linear combinations as in (4.1).
Figure 2 An example of a very symmetric Riemann surface configuration, with the loci along which various sectors of 7-branes sit marked in blue. As drawn, the 7-branes lie on contractible cycles, thereby automatically satisfying Gauss's law constraints. To create a Riemann surface with additional symmetry, we can impose periodic boundary conditions, cutting out holes where marked by single or double slashes and identifying them as indicated. In that case each 7-brane at one location needs to be balanced by an antibrane elsewhere, a configuration also consistent with the setup in [73]. The F 1 flux and legs of the B fi eld described in the text lie along the nontrivial a -cycles and b -cycles of the manifold. When microscopic consistency conditions from the orientifold projection require components of B to vanish at the positions of the 7-branes, this can be achieved via suitable linear combinations as in (4.1).CC-BY · From the PDF
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CC-BY · From the PDF

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Research works printed but not linked: 5

  1. F. Marchesano, G. Shiu and A.M. Uranga, F-term axion monodromy inflation, arXiv:1404.3040 [ INSPIRE ]. · arXiv
  2. T.C. Bachlechner, M. Dias, J. Frazer and L. McAllister, A new angle on chaotic inflation, arXiv:1404.7496 [ INSPIRE ]. · arXiv
  3. F.C. Adams, J.R. Bond, K. Freese, J.A. Frieman and A.V. Olinto, Natural inflation: particle physics models, power law spectra for large scale structure and constraints from COBE, Phys. Rev. D 47 (1993) 426 [ hep-ph/9207245 ] [ INSPIRE ]. · arXiv
  4. R. Bousso, D. Harlow and L. Senatore, Inflation after false vacuum decay: new evidence from BICEP2, arXiv:1404.2278 [ INSPIRE ]. · arXiv
  5. Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, arXiv:1303.5082 [ INSPIRE ]. · arXiv

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Metadata

Authors
McAllister, L., Silverstein, E., Westphal, A., & Wrase, T.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2014-09
Volume
2014
Issue
9
ISSN
1029-8479
DOI
10.1007/jhep09(2014)123
Cited by
194
References
100
Language
en

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