Welcome to Android Central! By indication light, do you mean the notification LED? What color is it blinking? Does the phone seem to be operating, just with a blank screen? Are you able to receive calls? If you can receive calls but the screen remains blank, the screen may have failed. Try pressing and holding the Power button for about 10-15 seconds--this usually forces a power down for any Android device. Wait a few seconds, then press and hold the Power button again and see if it turns on normally. If it doesn't, you may need to bring it to a repair shop or call Sony.