Two nuclear powers — India and Pakistan — are teetering on the edge of a major conflict after Pakistan said it had shot down two Indian military planes and captured one of the pilots.

Pakistan’s downing of two Indian MiG-21 fighter jets Wednesday capped a day of skirmishes in Kashmir. Both countries claim ownership over the region, which is divided into Indian- and Pakistani-administered areas. Pakistan said it had conducted “strikes” on the Indian-controlled side before responding to the Indian jets, which had crossed into Pakistani airspace in retaliation.