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000641232 1001_ $$0P:(DE-H253)PIP1003059$$aBuchmuller, Wilfried$$b0$$eCorresponding author
000641232 245__ $$aDeWitt wave functions for de Sitter JT gravity
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000641232 520__ $$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 ϕ is chosen to have positive values and interpreted as size of an additional compact slice in a higher-dimensional theory. At the boundaries h = 0, ϕ = 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, ϕ 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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000641232 650_7 $$2autogen$$a2D Gravity
000641232 650_7 $$2autogen$$ade Sitter space
000641232 650_7 $$2autogen$$aModels of Quantum Gravity
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000641232 7001_ $$00000-0002-7646-4237$$aHebecker, Arthur$$b1
000641232 7001_ $$0P:(DE-H253)PIP1013212$$aWestphal, Alexander$$b2
000641232 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP06(2025)049$$gVol. 06, no. 6, p. 49$$n6$$p049$$tJournal of high energy physics$$v06$$x1126-6708$$y2025
000641232 7870_ $$0PUBDB-2024-05057$$aBuchmuller, Wilfried et.al.$$d2024$$iIsParent$$rarXiv:2412.09211 ; DESY-24-105$$tDeWitt wave functions for de Sitter JT gravity
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