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We show that the Kontsevich-Segal (KS) criterion, applied to the complex saddles that specify the semiclassical no-boundary wave function, acts as a selection mechanism on inflationary scalar field potentials.
1904
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A. Vilenkin
1982
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Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2015
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Metrics that satisfy the criterion can always be diagonalized in a real basis, but the metrics we will consider in the following are already in diagonal form from the get-go. Notice that the criterion ( 1
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See Supplemental Material below for an illustration. Also included ( here ) are data files containing our numerical results and Mathematica code that computes the no-boundary saddle for given boundary conditions and checks whether it is allowable or not
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