  Multi-wavelengths high-resolution imaging of protoplanetary disks has
revealed the presence of multiple, varied substructures in their dust and gas
components which might be signposts of young, forming planetary systems. AB
Aurigae bears an emblematic (pre)transitional disk showing spiral structures
observed in the inner cavity of the disk in both the sub-millimeter (ALMA;
1.3mm, $^{12}$CO) and near-infrared (SPHERE; 1.5-2.5$\mu$m) wavelengths which
have been claimed to arise from dynamical interactions with a massive
companion. In this work, we present new deep $K_s$ (2.16$\mu$m) and L'
(3.7$\mu$m) band images of AB Aurigae obtained with LMIRCam on the Large
Binocular Telescope, aimed for the detection of both planetary companions and
extended disk structures. No point source is recovered, in particular at the
outer regions of the disk, where a putative candidate ($\rho = 0.681", PA =
7.6^{\circ}$) had been previously claimed. The nature of a second innermost
planet candidate ($\rho = 0.16'', PA = 203.9^{\circ}$) can not be investigated
by the new data. We are able to derive 5$\sigma$ detection limits in both
magnitude and mass for the system, going from 14 \Mjup at 0.3'' (49 au) down to
3-4 \Mjup at 0.6'' (98 au) and beyond, based on the ATMO 2020 evolutionary
models. We detect the inner spiral structures (< 0.5'') resolved in both CO and
polarimetric H-band observations. We also recover the ring structure of the
system at larger separation (0.5-0.7") showing a clear south-east/north-west
asymmetry. This structure, observed for the first time at L'-band, remains
interior to the dust cavity seen at ALMA, suggesting an efficient dust trapping
mechanism at play in the disk.
