I'm recommending the AIR-ANT2566D4M-R antennas with AIR-AP1572EAC-E-K9 Access Points and want to know if there is a "pig tail" connection required to allow them to work together?
AIR-AP1572EAC-E-K9 Access Points have four (4) N-type female external antenna connectors
AIR-ANT2566D4M-R antennas have RP-TNC (with coupling ring)
What cable is recommended to link the two devices?
Since Antennas: AIR-ANT2566D4M-R and AIR-ANT2566D4M-RS, already have antenna cables along with them, you should be requiring only an N(m) - R(f) adapter from Cisco to get it to working. The part number would be: AIR-ACC370-NM-RF
Below snippet that I created for one of my deployment for ease of reference.