Dilaton field induces a commutative Dp-brane coordinate

B. Sazdović

doi:10.1140/epjc/s2005-02385-7

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C (2005) 44: 599-605
https://doi.org/10.1140/epjc/s2005-02385-7

Theoretical Physics

Dilaton field induces a commutative Dp-brane coordinate

B. Sazdović^*

Institute of Physics, P.O. Box 57, 11001, Belgrade, Serbia

^* e-mail: sazdovic@phy.bg.ac.yu

Abstract

It is well known that the space-time coordinates $x^\mu$ 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 $B_{\mu \nu}$ . In this paper, we extend these considerations by including an additional dilaton field $\Phi$ , linear in $x^\mu$ . 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 $\Phi = {\mathrm {const}}$ becomes commutative.