A Two-Dimensional String Cosmology
arXiv:2302.06625 · doi:10.1007/JHEP06(2023)161
Abstract
We study two-dimensional string theory on a time-dependent background, whose worldsheet description consists of Liouville theory at central charge c = 1 and Liouville theory at central charge c = 25, together with the conformal ghosts. We compute the tree-level three-point and four-point cosmological wavefunctions in string perturbation theory. The latter is evaluated numerically by decomposing the Liouville four-point correlation functions into Virasoro conformal blocks and three-point function coefficients and integrating over the moduli space of the four-punctured sphere string diagram. This computation numerically confirms a surprisingly simple conjectural result for the four-point wavefunction whose physical interpretation remains to be clarified.
arXiv comment24 pages, 7 figures, 1 .nb Mathematica notebook attachment; typos corrected, references added; JHEP version, note added referencing a more recent numerical calculation
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