Modular Inflation at Higher Level $N$

Abstract

We introduce the framework of modular inflation with level structure, generalizing the level one theory considered previously to higher levels. We analyze the modular structure of CMB observables in this framework and show that the nontrivial geometry of the target space suffices to ensure the almost holomorphic modularity of the relevant parameters. We further introduce a concrete class of models based on hauptmodul functions that provide generators of the corresponding inflationary potentials at level $N>1$. The phenomenology of this class of models provides targets for ground-based CMB experiments in the immediate future. In the framework of our models we also discuss the status of the quantum gravity conjectures that have been formulated in the context of the swampland.

arXiv comment37 pages, 4 figures

References in corpus (42)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• On the Geometry of the String Landscape and the Swampland
• Planck 2013 results. XXII. Constraints on inflation
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Distance and de Sitter Conjectures on the Swampland
• Adiabatic and entropy perturbations from inflation
• On the Cosmological Implications of the String Swampland
• BICEP2 / Keck Array x: Constraints on Primordial Gravitational Waves using Planck, WMAP, and New BICEP2/Keck Observations through the 2015 Season
• Features of heavy physics in the CMB power spectrum
• What if string theory has no de Sitter vacua?
• Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
• SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope
• The landscape, the swampland and the era of precision cosmology
• An Observational Test of Two-field Inflation
• Constraining Dark Energy Dynamics in Extended Parameter Space
• Cosmological Attractors and Initial Conditions for Inflation
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• The Hyperbolic Geometry of Cosmological Attractors
• The zoo plot meets the swampland: mutual (in)consistency of single-field inflation, string conjectures, and cosmological data
• Hyperinflation
• A covariant approach to general field space metric in multi-field inflation
• Beyond six parameters: extending $\Lambda$CDM
• BICEP Array: a multi-frequency degree-scale CMB polarimeter
• A Statistical Approach to Multifield Inflation: Many-field Perturbations Beyond Slow Roll
• Primordial perturbations from inflation with a hyperbolic field-space
• Flat Monodromies and a Moduli Space Size Conjecture
• Black Holes, Elementary Strings and Holomorphic Anomaly
• Hyperinflation generalised: from its attractor mechanism to its tension with the `swampland conjectures'
• Multi-field Inflation with a Random Potential
• N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular Surfaces
• Inflation in Multi-field Modified DBM Potentials
• Modular Inflation Observables and $j$-Inflation Phenomenology
• The Cosmology Large Angular Scale Surveyor Receiver Design
• Generalized two-field $\alpha$-attractor models from geometrically finite hyperbolic surfaces
• Multifield Reheating after Modular $j$-Inflation
• Generalized two-field $\alpha$-attractors from the hyperbolic triply-punctured sphere
• A General Framework of Automorphic Inflation
• Baryogenesis via leptogenesis in multi-field inflation
• Automorphic Black Holes as Probes of Extra Dimensions
• Testing Two-Field Inflation

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