Dilaton field induces a commutative D<Emphasis Type="Italic">p</Emphasis>-brane coordinate

It is well known that the space-time coordinates and the corresponding Dp-brane world-volume become non-commutative when the ends of the open string are attached to a Dp-brane with the Neveu-Schwarz background field . In this paper, we extend these considerations by including an additional dilaton field , linear in . In that case, the conformal part of the world-sheet metric becomes a new non-commutative variable, while the coordinate in the direction orthogonal to the hyper plane becomes commutative. Received: 15 November 2004, Revised: 11 May 2005, Published online: 6 October 2005 PACS: . Work supported in part by the Serbian Ministry of Science and Environmental Protection, under contract No. 1486.