The generalized $sl(2,R)$ and $su(1,1)$ in non-minimal constant-roll inflation

Abstract

In the present work, we consider the non-minimal coupling inflationary model in the context of the constant-roll idea which is investigated by the first-order formalism. We attempt to find the hidden symmetries behind the model by the Lie symmetry method. We supply this aim by using the symmetry features of the Heun function instead of Killing vector approach. We show that the hidden symmetries of the non-minimal constant-roll inflation in the cases of power-law and exponential couplings are characterized as a generalized form of $sl(2,R)$ and $su(1,1)$ algebra, respectively.

arXiv comment6 pages

References in corpus (27)

• Reheating after Inflation
• Primordial Non-Gaussianities from Inflation Models
• Suppressing the lower Multipoles in the CMB Anisotropies
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Inflation with a constant rate of roll
• First-order formalism for bent brane
• First-order formalism and dark energy
• $f(R)$ constant-roll inflation
• Constant-roll Inflation in $F(R)$ Gravity
• Lie - point and variational symmetries in minisuperspace Einstein's gravity
• Constant-roll inflation: confrontation with recent observational data
• Noether symmetry in the higher order gravity theory
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Classification of the Horndeski cosmologies via Noether Symmetries
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Ince's limits for confluent and double-confluent Heun equations
• First-order formalism for flat branes in generalized N-field models
• Observational Constraints on Constant Roll Inflation
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• First Order Formalism for Generalized Vortices
• First-order formalism for dark energy and dust
• First-order formalism for twinlike models with several real scalar fields
• Constant roll warm inflation in high dissipative regime
• Two-field Cosmological $\alpha$-attractors with Noether Symmetry
• Two-field constant roll inflation
• Noether symmetry approach in the cosmological alpha-attractors

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• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• Investigation of hidden symmetry in $Ad{S}_5$ black hole with Heun equation