To make the red pepper sauce. In a blender or food processor, combine the red peppers, reserving 1 whole pepper or about 1/3 of the jar for later, walnuts, tomato paste, garlic, herbs, olive oil, vinegar, honey, paprika, cayenne, and a generous pinch of salt. Blend until smooth, about 1 minute.Set a large pot with sides over medium-high heat. Add the butter, red pepper sauce, and 3 1/2 cups water. Bring to a boil, add the pasta, season with salt, and cook, stirring often, until the pasta is al dente, 8-12 minutes. Do not drain the pasta water. If needed, add additional water to help the pasta cook.Slice the reserved red pepper and stir in the pasta, sun-dried tomatoes, parmesan, and herbs. Toss until very creamy. Arrange the burrata in a serving bowl, pour the hot pasta and sauce over the burrata, then gently toss to allow the burrata to melt into the pasta. Serve the pasta topped with fresh parmesan and herbs. Enjoy!