Ramond-Ramond Couplings of Noncommutative D-branes

Abstract

We propose the leading couplings, in an alpha' expansion, of noncommutative D-branes to RR potentials in a constant NSNS B-field for an arbitrary choice of noncommutative parameter. The proposal is motivated by some string amplitude computations. The zero momentum couplings are topological in nature and involve Elliott's noncommutative Chern character. The finite momentum couplings are given by smearing the zero momentum operators along an open Wilson line. Comparisons between the RR couplings in different descriptions lead to a better understanding of the field redefinitions between gauge field variables (the Seiberg-Witten map) and help constrain alpha' corrections. In particular we recover the Seiberg-Witten map conjectured by one of the authors in hep-th/0011125. We also discuss the dynamics of the transverse scalar fields and find evidence for a new derivative-driven dielectric effect.

19 pages, AMSLaTeX using JHEP.cls; v2: minor misprints corrected

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• Exact Description of D-branes via Tachyon Condensation
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• Non-commutative field theory and composite Fermi Liquids in some quantum Hall systems
• Strings between branes
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• Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory
• One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
• Translational-invariant noncommutative gauge theory
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Highly Effective Action from Large N Gauge Fields
• Open-String Actions and Noncommutativity Beyond the Large-B Limit
• Remarks on an Exact Seiberg-Witten map
• Solitons and Quasielectrons in the Quantum Hall Matrix Model
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• On the quantum equivalence of commutative and noncommutative Chern-Simons theories at higher orders
• Modified Star-Products Beyond the Large-B Limit
• Closed string exchanges on $C^2/Z_2$ in a background B-field
• Seiberg-Witten map and topology
• A Note on Noncommutative D-Brane Actions
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Multiple D${}_p$-branes as a D${}_{p+2}$-brane
• SL(2;R) Duality of the Noncommutative DBI Lagrangian