A nationwide AT&T outage that began early Thursday morning has disrupted cellphone service across the U.S., including Connecticut. Thousands of people woke up without service, with AT&T, Cricket Wireless, and Verizon among the affected providers. While the issue was more limited in Connecticut, AT&T faced the most outages. The company’s network teams continue working to restore service, but some iPhone users have seen SOS messages on their screens. Though most customers nationwide had their service restored, there are a few thousand AT&T customers who are still reporting outages on the network, according to service tracking website Down Detector. According to the Connecticut Department of Emergency Services and Public Protection, the 911 network did not experience any disruptions because of the outage.