How to Make It
In a small bowl, whisk together the first 8 ingredients. Season the sauce with salt and pepper. Form the pork into four 3/4-inch-thick patties; season with salt and pepper. In a large cast-iron skillet set on the grate of a preheated grill or on the stovetop, heat the oil. Cook the burgers over moderate heat, 3 to 4 minutes. Flip, top each with a slice of cheese and cook, covered, until the burgers are just cooked through, about 5 minutes. Transfer to a work surface.
Spread the sauce on the cut sides of the rolls. Place a burger on each roll bottom and top with some of the kimchi, pork rinds and cilantro sprigs. Close the burgers and serve, passing the remaining sauce at the table.