Large black ants, up to half an inch or more, with a narrow pinched waist, elbowed antennae, and a smooth rounded back. Winged swarmers appear in spring and look like flying ants with front wings longer than the hind wings.
Termite swarmers, which show up around the same time, have a thick waist, straight antennae, and two pairs of equal-length wings nearly twice the body length (Penn State). The tunnels tell you too: carpenter ant galleries are clean and smooth and cut across the grain; termite tunnels follow the grain and are packed with mud (Rutgers).