D-branes, Cyclic Symmetry and Noncommutative Geometry

Details D-branes, Cyclic Symmetry and Noncommutative Geometry D-branes, Cyclic Symmetry and Noncommutative Geometry

2000-06-11

arxiv.org/abs/hep-th/0006073v2

Mod.Phys.Lett. A18 (2003) 1053-1065

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTex, v2: references added & typos corrected

Scientific paper

10.1142/S0217732303010971

We investigate the open string modes, describing the world-volume of a D p-brane, for its cyclic symmetry in presence of a magnetic field. It is argued that the constant coordinate modes receive non-perturbative correction. We show that they introduce the notion of noncommutativity on the D p-brane world-volume and make it UV-renormalizable. An analogy between cyclic symmetry ($\a'$-corrections) and the noncommutative geometry ($\Theta_A$-corrections) is presented to explain some of the unusual IR phenomena often noticed in a noncommutative theory.

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