A General Framework of Automorphic Inflation

Abstract

Automorphic inflation is an application of the framework of automorphic scalar field theory, based on the theory of automorphic forms and representations. In this paper the general framework of automorphic and modular inflation is described in some detail, with emphasis on the resulting stratification of the space of scalar field theories in terms of the group theoretic data associated to the shift symmetry, as well as the automorphic data that specifies the potential. The class of theories based on Eisenstein series provides a natural generalization of the model of $j$-inflation considered previously.

30 pages, corrected typos

References in corpus (5)

• Multiple field inflation
• Starobinsky-like two-field inflation
• On the viability of m**2 phi**2 and natural inflation
• The Langlands Program and String Modular K3 Surfaces
• The two-field regime of natural inflation

Cited by in corpus (8)

• Primordial perturbations from inflation with a hyperbolic field-space
• Modular Inflation Observables and $j$-Inflation Phenomenology
• Hidden symmetries of two-field cosmological models
• Modular Inflation at Higher Level $N$
• Baryogenesis via leptogenesis in multi-field inflation
• Modular Invariant Slow Roll Inflation
• Large and small field inflation from hyperbolic sigma models
• Scaling behavior of observables as a model characteristic in multifield inflation