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000611765 0247_ $$2arXiv$$aarXiv:2412.09211
000611765 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-05057
000611765 037__ $$aPUBDB-2024-05057
000611765 041__ $$aEnglish
000611765 088__ $$2arXiv$$aarXiv:2412.09211
000611765 088__ $$2DESY$$aDESY-24-105
000611765 1001_ $$0P:(DE-H253)PIP1003059$$aBuchmuller, Wilfried$$b0$$eCorresponding author
000611765 245__ $$aDeWitt wave functions for de Sitter JT gravity
000611765 260__ $$c2024
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000611765 500__ $$a57 pages, 10 figures
000611765 520__ $$aJackiw-Teitelboim (JT) gravity in two-dimensional de Sitter space is an intriguing model for cosmological ``wave functions of the universe'. Its minisuperspace version already contains all physical information. The size of compact slices is parametrized by a scale factor $h > 0$. The dilaton $\phi$ is chosen to have positive values, $\phi > 0$, and interpreted as size of an additional compact slice in a higher-dimensional theory. At the boundaries $h=0$, $\phi=0$, where the volume of the universe vanishes, the curvature is generically singular. According to a conjecture by DeWitt, solutions of the Wheeler-DeWitt (WDW) equation should vanish at singular loci. Recently, the behaviour of JT wave functions at large field values $h$, $\phi$ has been obtained by means of a path integral over Schwarzian degrees of freedom of a boundary curve. We systematically analyze solutions of the WDW equation with Schwarzian asymptotic behaviour. We find real analytic solutions that vanish on the entire boundary, in agreement with DeWitt's conjecture. Projection to expanding and contracting branches may lead to singularities, which can however be avoided by an appropriate superposition of solutions. Our analysis also illustrates the limitations of semiclassical wave functions.
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000611765 536__ $$0G:(GEPRIS)471314740$$aDFG project G:(GEPRIS)471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740)$$c471314740$$x3
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000611765 7001_ $$0P:(DE-HGF)0$$aHebecker, Arthur$$b1
000611765 7001_ $$0P:(DE-H253)PIP1013212$$aWestphal, Alexander$$b2$$udesy
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