Dilaton field induces commutative Dp-brane coordinate

Abstract

It is well known that space-time coordinates and corresponding Dp-brane world-volume become non-commutative, if open string ends on Dp-brane with Neveu-Schwarz background field $B_{\mu \nu }$. In this paper we extend these considerations including the dilaton field $\Phi$, linear in coordinates $x^{\mu }$. In that case the conformal part of the world-sheet metric appears as new non-commutative variable and the coordinate in direction orthogonal to the hyper plane $\Phi =const$, becomes commutative.

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