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We study the nonperturbative quantum evolution of the interacting O(N) vectormodel at large-N, formulated on a spatial two-sphere, with time dependentcouplings which diverge at finite time. This model - the so-called "E-frame"theory, is related via a conformal transformation to the interacting O(N) modelin three dimensional global de Sitter spacetime with time independentcouplings. We show that with a purely quartic, relevant deformation the quantumevolution of the E-frame model is regular even when the classical theory isrendered singular at the end of time by the diverging coupling. Time evolutiondrives the E-frame theory to the large-N Wilson-Fisher fixed point when theclassical coupling diverges. We study the quantum evolution numerically for avariety of initial conditions and demonstrate the finiteness of the energy atthe classical "end of time". With an additional (time dependent) massdeformation, quantum backreaction lowers the mass, with a putative smooth timeevolution only possible in the limit of infinite quartic coupling. We discussthe relevance of these results for the resolution of crunch singularities inAdS geometries dual to E-frame theories with a classical gravity dual.

Nonequilibrium dynamics of the O(N) model on dS_3 and AdS crunches