  We theoretically study the tunneling conductance of a junction consisting of
a two-dimensional $p$-wave altermagnet (AM) and a superconductor (SC) for
various pairing symmetries. The zero bias conductance peaks arising from the
dispersionless surface Andreev bound states (SABSs) in $d_{xy}$-wave and
$p_{x}$-wave superconductor junctions are insensitive against varying the
altermagnetic spin-splitting strength $\alpha _{y}$. Moreover, for chiral $p$-
or chiral $d$-wave SCs, zero bias conductance shows a non-monotonic change as a
function of $\alpha_{y}$ indicating the existence of the dispersive SABSs. Our
obtained results of tunneling spectroscopy based on a $p$-wave AM serve as an
effective way for the identification of the pairing symmetries of
unconventional superconductors. It is noted that our used Hamiltonian of AM is
also available for persistent spin helix systems.
