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The host galaxy conditions for rapid supermassive black hole growth arepoorly understood. Narrow-line Seyfert 1 (NLS1) galaxies often exhibit highaccretion rates and are hypothesized to be prototypes of active galactic nuclei(AGN) at an early stage of their evolution. We present VLT MUSE NFM-AOobservations of Mrk 1044, the nearest super-Eddington accreting NLS1. Togetherwith archival MUSE WFM data we aim to understand the host galaxy processes thatdrive Mrk 1044's black hole accretion. We extract the faint stellar continuumemission from the AGN-deblended host and perform spatially resolved emissionline diagnostics with an unprecedented resolution. Combining both MUSE WFM andNFM-AO observations, we use a kinematic model of a thin rotating disk to tracethe stellar and ionized gas motion from 10$\,$kpc down to 30$\,$pc around thenucleus. Mrk 1044's stellar kinematics follow circular rotation, whereas theionized gas shows tenuous spiral features in the center. We resolve a compactstar forming circumnuclear ellipse (CNE) that has a semi-minor axis of306$\,$pc. Within this CNE, the gas is metal rich and its line ratios areentirely consistent with excitation by star formation. With an integrated SFRof $0.19 \pm 0.05 \,{\rm M}_\odot\,{\rm yr}^{-1}$ the CNE contributes 27% ofthe galaxy-wide star formation. We conclude that Mrk 1044's nuclear activityhas not yet affected the circumnuclear star formation. Thus, Mrk 1044 isconsistent with the idea that NLS1s are young AGN. A simple mass budgetconsideration suggests that the circumnuclear star formation and AGN phase areconnected and the patterns in the ionized gas velocity field are a signature ofthe ongoing AGN feeding.

The Close AGN Reference Survey (CARS): Tracing the circumnuclear star formation in the super-Eddington NLS1 Mrk 1044