NONCOMMUTATIVITY IN LINEAR DILATON BACKGROUND

We consider quantization of open string theories in linear dilaton and constant antisymmetric tensor backgrounds and discuss the noncommutativity of space–time coordinates arising in such theories, including their relationship with light-like noncommutativity as well as backgrounds with null isometries. It is argued that the results can also be understood using space–time equations of motion of the string modes. We then present N = 2 supersymmetric generalization of these theories and the associated noncommutative structure.