Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action

Abstract

By integrating the Seiberg-Witten differential equation in a special path, we write ordinary gauge fields in terms of their non-commutative counterparts up to three non-commutative gauge fields. We then use this change of variables to write ordinary abelian Dirac-Born-Infeld action in terms of non-commutative fields. The resulting action is then compared with various low energy contact terms of world-sheet perturbative string scattering amplitudes from non-commutative D$p$-brane. We find completely agreement between the field theory and string theory results. Hence, it shows that perturbative string theory knows the solution of the Seiberg-Witten differential equation.

22 pages, Latex, no figures, Abstract and Introduction sections revised, to appear in Nucl. Phys. B

References in corpus (2)

• String Theory and Noncommutative Geometry
• Closed Strings Interacting with Noncommutative D-branes

Cited by in corpus (38)

• Noncommutative Field Theory
• Comments on noncommutative gravity
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Cosmology from Rolling Massive Scalar Field on the anti-D3 Brane of de Sitter Vacua
• Infinitely many star products to play with
• On-shell S-matrix and tachyonic effective actions
• How Noncommutative Gauge Theories Couple to Gravity
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• *-Trek III: The Search for Ramond-Ramond Couplings
• The Gauge Anomaly and the Seiberg-Witten Map
• Duality constraints on effective actions
• Ramond-Ramond Couplings of Noncommutative D-branes
• Noncommutative perturbation in superspace
• Extension of Noncommutative Soliton Hierarchies
• Off-shell extension of S-matrix elements and tachyonic effective actions
• The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant
• Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
• Open Wilson Lines and Generalized Star Product in Noncommutative Scalar Field Theories
• A New Noncommutative Product on the Fuzzy Two-Sphere Corresponding to the Unitary Representation of SU(2) and the Seiberg-Witten Map
• *-Wars Episode I: The Phantom Anomaly
• S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
• Interacting Open Wilson Lines in Noncommutative Field Theories
• Superfield Effective Action in the Noncommutative Wess-Zumino Model
• T-duality and Noncommutative DBI Action
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• S-Duality for D3-Brane in NS-NS and R-R Backgrounds
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• Factorization and generalized *-products
• Open Wilson Lines as States of Closed String
• Translational-invariant noncommutative gauge theory
• Comments on Open Wilson Lines and Generalized Star Products
• Star Products from Commutative String Theory
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED
• Open-String Actions and Noncommutativity Beyond the Large-B Limit
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Transformation of the Dirac-Born-Infeld action under the Seiberg-Witten map