Preheat oven to 325 degrees. Line an 8-inch square metal pan with non-stick foil or line with regular foil and grease the bottom. Note: If you'd like big, crispy edges like in the photo, you can use 350F, but 325 should give you a more even bake. If using glass, definitely use 325.
In a mixing bowl, using medium speed, mix the softened butter and browned sugar until creamy. Beat in peanut butter and vanilla, then add egg and egg yolk and beat just until mixed in. Scrape sides of bowl and beat in baking powder and salt, making sure they are evenly distributed; Add flour and stir until it is mixed in. Spread peanut butter batter in pan.
Make swirl mixture. Melt chocolate and butter in a small microwave-safe bowl at 50% power. Remove melted chocolate from heat and stir in Nutella. Drop spoonfuls of Nutella mixture over peanut butter brownie batter and drag a knife through to make a marbled pattern.
Bake on center rack for 30 minutes or until brownies begin to pull away from the side of the pan and center seems set. The edges will most likely be puffed up and the centers will seem soft, but this is how they are supposed to be. Let them cool in the pan set on a wire rack.
When brownies hit room temperature, chill them for an hour or so. Lift from pan and cut into squares.