Combine the sugar and corn syrup in a heavy bottomed saucepan. Cook over medium heat, stirring occasionally. It will boil and turn a honey color and then it will turn a caramel color. As soon as the dark caramel color appears, remove the pan from the heat.
Add the butter and cream. Stir until the caramel is smooth. Add the vanilla and mix it in well.
Fold in the Rice Krispies and then pour the mixture onto the parchment paper. Press it out to a pan.
Melt the chocolate chips and spread evenly over the bars. Sprinkle with coarse salt before the chocolate hardens.
After the chocolate hardens cut into bars and store in an airtight container