  Layered kagome metals AV3Sb5 (A=K, Rb, Cs) exhibit diverse correlated
electron phenomena. It includes charge density wave formation and
superconductivity the pairing symmetry of which, however, is controversial due
to contradictory experimental evidence. Through calculations based on
real-space lattice models at the mean-field level, we investigate the vortex
and surface spectra of all competitive pairing propensities suggested for
AV3Sb5 from a weak coupling analysis of unconventional superconductivity.
Chiral p-wave pairing emerges as the only option to host Majorana bound states
in the vortex core. We find chiral edge states for both p-wave and d-wave
pairing, along with flat Andreev surface bound states for f -wave pairing. Our
results expand the fingerprint of superconducting pairing, and thus will
contribute to resolving the nature of superconductivity in AV3Sb5.
