Constraints On The Primordial Non-gaussianity From The Topology Of Large-scale Structure

Mathematics – Logic

Scientific paper

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Scientific paper

We analyze the large-scale distribution of the luminous red galaxies (LRGs) in the final Sloan Digital Sky Survey (SDSS) Catalog to measure the genus topology. The amplitude of the observed genus in the SDSS region reaches 296 with uncertainty of 3.5%. The shape of the genus curve agrees very well with the prediction of perturbation theory and with the mean topology of mock SDSS surveys of LRGs. We used a new large cosmological N-body simulation, Horizon Run 3, that evolved 72103 particles in 10815 Mpc/h size box to make 81 mock SDSS LRG surveys along the past light cone surface and to estimate the uncertainties in the measured genus. We constrain the primordial non-Gaussianity parameter fNL from the observed genus curves.

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