An AFTER trigger in SQL runs after a data modification operation like INSERT, UPDATE, or DELETE completes successfully on a table. For example, when a new employee is inserted, the AFTER INSERT trigger fires and executes its code, such as inserting a record into an audit_log table. The trigger runs inside the same transaction as the original operation, so if the trigger code fails, the entire transaction including the original insert is rolled back. The execution flow starts with the data change, then the trigger fires, executes its code, completes, and finally the original transaction commits. Variables like table rows and trigger state change step-by-step as shown in the execution table and variable tracker. This helps ensure data integrity and allows actions like auditing after data changes.