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

Tony Pinhero

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arXiv · 1812.05406

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

Tony Pinhero

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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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Tony Pinhero. 2018-12-13. Natural $\alpha$-Attractors from ${\cal N}=1$ Supergravity via flat K\"ahler Manifolds. https://arxiv.org/abs/1812.05406

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