We extend the analytic description of complex no-boundary solutions in the context of inflation to large field models. We discuss the Kontsevich–Segal–Witten (KSW) criterion and find it is satisfied in small field models, while in large field models it depends on an integral involving V′(ϕ) over the range of inflation. It follows that although particular models are ruled out, e.g. quadratic inflation, the criterion does not truly constrain inflationary phenomenology since any inflation potential can be completed beyond observable scales so as to satisfy KSW.

中文翻译：

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大场模型中的 KSW 准则


我们将膨胀背景下复杂无边界解的解析描述扩展到大场模型。我们讨论了 Kontsevich-Segal-Witten （KSW） 准则，发现它在小场模型中得到满足，而在大场模型中，它取决于在膨胀范围内涉及 V′（φ） 的积分。因此，尽管排除了特定的模型，例如二次膨胀，但该标准并不能真正限制膨胀现象学，因为任何膨胀潜力都可以在可观察尺度之外完成，从而满足 KSW。