A Scaling Limit With Many Noncommutativity Parameters

Abstract

We derive the worldsheet propagator for an open string with different magnetic fields at the two ends, and use it to compute two distinct noncommutativity parameters, one at each end of the string. The usual scaling limit that leads to noncommutative Yang-Mills can be generalized to a scaling limit in which both noncommutativity parameters enter. This corresponds to expanding a theory with U(N) Chan-Paton factors around a background U(1)^N gauge field with different magnetic fields in each U(1).

14 pages, harvmac

References in corpus (4)

• String Theory and Noncommutative Geometry
• D-branes and Deformation Quantization
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• A Note on Non-Commutative Field Theory and Stability of Brane-Antibrane Systems

Cited by in corpus (9)

• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Noncommutative Dipole Field Theories
• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• Noncommutativity in a Time-Dependent Background
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• On Branes and Oriented B-fields
• Effective descriptions of branes on non-geometric tori
• T-duality and Actions for Non-Commutative D-Branes
• Strings and Noncommutativity