A Detection of $z$~2.3 Cosmic Voids from 3D Lyman-$\alpha$ Forest Tomography in the COSMOS Field

We present the most distant detection of cosmic voids ($z \sim 2.3$) and the first detection of three-dimensional voids in the Lyman-$\alpha$ forest using the 3D tomographic map from the CLAMATO survey. Using the LRIS spectrograph on the 10.3m Keck-I telescope, CLAMATO obtained moderate-resolution spectra from 240 background Lyman-break galaxies and quasars in a 26.6' by 21.3' section of the COSMOS field to reconstruct the Ly$\alpha$ absorption field on 2.5 $h^{-1}$ Mpc scales over a comoving volume of $3.15 \times 10^5$ $h^{-3}$ Mpc$^3$. We detect voids using a spherical overdensity finder with thresholds calibrated from hydrodynamical simulations of the intergalactic medium. We find that the same thresholds produce a consistent volume fraction of voids in both data (19.1%) and simulations (18.1%). We fit the void radius function using excursion set models at $z \sim 2.3$ and we compare the two-dimensional and radially averaged stacked profiles of large voids ($r > 5$ $h^{-1}$ Mpc) to stacked voids in mock observations and the simulated density field. Finally, using 432 coeval galaxies in the same volume as the IGM map, we find that the tomography-identified voids are underdense in galaxies by 5.91$\sigma$ compared to random cells.