Abstract
ABSTRACTWe show the uniqueness of superpotentials leading to Minkowski vacua of single-field no-scale supergravity models, and the construction of dS/AdS solutions using pairs of these single-field Minkowski superpotentials. We then extend the construction to two- and multifield no-scale supergravity models, providing also a geometrical interpretation. We also consider scenarios with additional twisted or untwisted moduli fields, and discuss how inflationary models can be constructed in this framework.
Highlights
The ‘η-problem’ [11, 12].1 there is one class of supergravity models that avoid these problems, namely no-scale supergravity [14,15,16], which can accommodate flat potentials that may have vanishing energy density, corresponding to Minkowski vacua, or have constant positive energy densities, corresponding to dS vacua [17, 18]
We show the uniqueness of superpotentials leading to Minkowski vacua of single-field no-scale supergravity models, and the construction of dS/AdS solutions using pairs of these single-field Minkowski superpotentials
How unique are no-scale supergravity models with Minkowski or de Sitter solutions? What are the relationships between them? Can they be given simple geometrical interpretations? How may constructions with a single complex modulus field be generalized to two- or multifield supergravity models? Can the de Sitter models be used to construct inflationary models predicting perturbations that are consistent with observations, e.g., resembling the successful [21,22,23] predictions of the Starobinsky model [24] as in [25]? How may the universe evolve from ade Sitter inflationary state towards theMinkowski contemporary epoch with its cosmological constant, a.k.a. dark energy?
Summary
We first recall some general properties of no-scale supergravity models, which emerge naturally from generic string compactifications in the low-energy effective limit [19]. The simplest N = 1 no-scale supergravity models were first considered in [14, 15] and are characterized by the following Kahler potential [17]:. The minimal no-scale Kahler potential (2.1) describes a non-compact. Which parametrizes a non-compact coset manifold, but with a positive constant curvature. This unique structure was first discussed in [17], and similar models were studied in [70, 91, 92], where they were termed α-attractors. Where the fields Φi are complex scalar fields, Φ ̄i are their conjugate fields, and Kij is the inverse Kahler metric.
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