D-branes, Cyclic Symmetry and Noncommutative Geometry

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 (${\Theta }_A$-corrections) is presented to explain some of the unusual IR phenomena often noticed in a noncommutative theory.

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

References in corpus (3)

• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• Two-Loop Diagrams in Noncommutative ${\varphi }_4^4$ theory
• Non-commutativity, Zero modes and D-brane Geometry

Cited by in corpus (4)

• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Electromagnetic Strings: Complementarity between Time and Temperature
• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory