Normal ordering and noncommutativity in open bosonic strings

Abstract

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu }$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to several discussions, in which boundary conditions are taken as Dirac constraints, we first obtain the mode algebra by using the newly proposed normal ordering, which satisfies both equations of motion and boundary conditions. Using these the commutator among the string coordinates is obtained. Interestingly, this new normal ordering yields the same algebra between the modes as the one satisfying only the equations of motion. In this approach, we find that noncommutativity originates more transparently and our results match with the existing results in the literature.

10 pages latex, references added

References in corpus (15)

• String Theory and Noncommutative Geometry
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Open String and D-brane
• Noncommutative Geometry From Strings and Branes
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• Lectures on Branes in Curved Backgrounds
• Noncommutativity in a Time-Dependent Background
• Noncommutative open strings from Dirac quantization
• Noncommutativity in open string: New results in a gauge independent analysis
• Symplectic Quantization of Open Strings and Noncommutativity in Branes
• Non(anti) commutativity for open superstrings
• Normal ordering and boundary conditions in open bosonic strings
• Membrane and Noncommutativity
• Strings and Noncommutativity

Cited by in corpus (11)

• Topics in Noncommutative Geometry Inspired Physics
• Entanglement wedge cross section for noncommutative Yang-Mills theory
• Normal ordering and non(anti)commutativity in open super strings
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Noncommutativity in interpolating string: A study of gauge symmetries in noncommutative framework
• Twist Quantization of String and B Field Background
• Twist Deformations of the Supersymmetric Quantum Mechanics
• String non(anti)commutativity for Neveu-Schwarz boundary conditions
• Twist Quantization of String and Hopf Algebraic Symmetry
• Strings in pp-wave background and background B-field from membrane and its symplectic quantization
• Generalized Dirichlet normal ordering in open bosonic strings