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D-branes, Cyclic Symmetry and Noncommutative Geometry

Supriya Kar
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Abstract

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 ($Θ_A$-corrections) is presented to explain some of the unusual IR phenomena often noticed in a noncommutative theory.

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Supriya Kar. 2000-07-05. D-branes, Cyclic Symmetry and Noncommutative Geometry. https://doi.org/10.1142/s0217732303010971

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