Cook the peppers and onion over high heat with salt, pepper, and sugar.
Add red wine vinegar. Turn heat down to medium. Stir in basil and cook for 30 more seconds. Remove from heat.
Cut a few lines through the fat on the pork chops. Season with salt and pepper. Add oil, chops, garlic, thyme (high heat). Flip chop after seared and add butter. Baste the chops with the butter.