Abstract
Liouville gravity can be used to precisely model features of 3+1 dimensional cosmology in a simplified 1+1d setting. We study primordial fluctuations in a generally covariant extension of Liouville theory, in the context of single field inflation. The scale invariant spectrum of scalar curvature perturbations is exhibited, and their three-point correlation function is computed in the slow roll approximation. We recover Maldacena’s consistency relation for the three-point function, which in this context depends on a global shift symmetry of extended Liouville theory.
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Moore, W.E. Primordial fluctuations in extended Liouville theory. J. High Energ. Phys. 2015, 1 (2015). https://doi.org/10.1007/JHEP03(2015)001
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DOI: https://doi.org/10.1007/JHEP03(2015)001