Chern-Simons Terms on Noncommutative Branes

Abstract

We write down couplings of the fields on a single BPS Dp-brane with noncommutative world-volume coordinates to the RR-forms in type II theories, in a manifestly background independent way. This generalises the usual Chern-Simons action for a commutative Dp-brane. We show that the noncommutative Chern-Simons terms can be mapped to Myers terms on a collection of infinitely many D-instantons. We also propose Chern-Simons couplings for unstable non-BPS branes, and show that condensation of noncommutative tachyons on these branes leads to the correct Myers terms on the decay products.

harvmac, 17 pages (b), 11 pages (l); v3: final version, to appear in JHEP

References in corpus (19)

• Dielectric-Branes
• D-branes and Deformation Quantization
• Noncommutative Solitons
• Supersymmetric World-volume Action for Non-BPS D-branes
• T-duality and Actions for Non-BPS D-branes
• Noncommutative Tachyons
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Noncommutative Tachyons And String Field Theory
• Derivative corrections to D-brane actions with constant background fields
• Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
• Symmetry Restoration and Tachyon Condensation in Open String Theory
• Some Issues in Non-commutative Tachyon Condensation
• The M(atrix) model of M-theory
• Noncommutative Tachyonic Solitons. Interaction with Gauge Field
• D-brane Couplings, RR Fields and Clifford Multiplication
• Tensionless Branes and Discrete Gauge Symmetry
• A Note on D-Branes of Odd Codimensions from Noncommutative Tachyons
• A non-Abelian Chern-Simons term for non-BPS D-branes
• D-Branes in Type IIA and Type IIB Theories from Tachyon Condensation

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• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• *-Trek III: The Search for Ramond-Ramond Couplings
• D-brane Solutions in Non-Commutative Gauge Theory on Fuzzy Sphere
• Ramond-Ramond Couplings of Noncommutative D-branes
• A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background
• Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
• Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories
• Superconnections, Anomalies and Non-BPS Brane Charges
• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
• On D0 brane polarization by tidal forces
• A Note on Non-Commutative Field Theory and Stability of Brane-Antibrane Systems
• Spin(p+1,p+1) Covariant Dp-brane Bound States
• Topology of the Gauge Group in Noncommutative Gauge Theory
• Ramond-Ramond Couplings of Noncommutative Branes
• Noncommutative Fluids
• Open-String Actions and Noncommutativity Beyond the Large-B Limit
• Deformed "Commutative" Chern - Simons System
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• T-duality and Actions for Non-Commutative D-Branes
• Derivative corrections to Dirac-Born-Infeld and Chern-Simon actions from Non-commutativity
• Closed string exchanges on $C^2/Z_2$ in a background B-field
• Matrix Model and String Field Theory
• D-branes, actions effectives et symétrie miroir
• SL(2;R) Duality of the Noncommutative DBI Lagrangian