the electrical box.
Fortunately, it was discovered before the surrounding material caught fire. The damaged wiring was removed, the connection and outlet were replaced, and the electrician inspected the rest of the circuit for signs of heat damage. After the repair, the mysterious glow disappeared completely.
A glowing outlet should never be considered normal unless the outlet specifically contains a built-in indicator light. Unexpected light, heat, a burning smell, discoloration, buzzing, or sparking around an outlet can indicate a dangerous electrical problem. The safest response is to stop using it, switch off the appropriate breaker if this can be done safely, and have a qualified electrician inspect it.