Second Repeating FRB 180814.J0422+73: Ten-year Fermi-LAT Upper limits and Implications

The second repeating fast radio burst source, FRB 180814.J0422+73, was detected recently by the CHIME collaboration. We use the ten-year Fermi Large Area Telescope (LAT) archival data to place a flux upper limit in the energy range of 100 MeV$-$10 GeV at the position of the source, which is $\sim 10^{-11}$ erg cm$^{-2}$ s$^{-1}$ for a six-month time bin on average, and $2.35\times 10^{-12}$ erg cm$^{-2}$ s$^{-1}$ for the entire ten-year time span. For the maximum redshift of $z=0.11$, the ten-year upper limit of luminosity is $7.32\times 10^{43}$ erg s$^{-1}$. We utilize these upper limits to constrain the FRB progenitor and central engine. For the rotation-powered young magnetar model, the upper limits can pose constraints on the allowed parameter space for the initial rotational period and surface magnetic field of the magnetar. We also place significant constraints on the kinetic energy of a relativistic external shock wave, ruling out the possibility that there existed a gamma-ray burst (GRB) beaming towards earth during the past ten years as the progenitor of the repeater. The case of an off-beam GRB is also constrained if the viewing angle is not much greater than the jet opening angle. All these constraints are more stringent if FRB 180814.J0422+73 is at a closer distance.