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Natural $\alpha$-Attractors from ${\cal N}=1$ Supergravity via flat K\"ahler Manifolds

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arxiv 1812.05406 v2 pith:F3WJF4WI submitted 2018-12-13 hep-th

classification hep-th
keywords ahleralphafieldflatmanifoldsmodelspotentialsupergravity
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abstract

We present $\alpha$-attractor models for inflation based on ${\cal N}=1$ supergravity with flat K\"ahler manifolds. The function form of the associated K\"ahler potential in these models are logarithmic square in nature and has a visible shift symmetry in its composite canonical variables. The scalar potential $V$ with respect to these field variables has an infinitely long dS valley of constant depth and width at large values of inflaton field $\psi$ and attains a Minkowski minimum at small $\psi$. We illustrate this new framework with a couple of examples.

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Cited by 1 Pith paper

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  1. Inflation in supergravity from field redefinitions

    hep-th 2019-08 conditional novelty 3.0 of 10

    The paper derives potentials V = Λ²|f⁻¹(u_R/√2)|² from K = K₋(f(T)) and W = ΛST, and scans M and p to match Planck data with hilltop, Starobinsky-like, plateau, log-squared, and bell-curve shapes.

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