On the general structure of the non-abelian Born–Infeld action

We discuss the general structure of the non-abelian Born-Infeld action, together with all of the alpha-prime derivative corrections, in flat D-dimensional space-time. More specifically, we show how the connection between open strings propagating in background magnetic fields and gauge theories on non-commutative spaces can be used to constrain the form of the effective action for the massless modes of open strings at week coupling. In particular, we exploit the invariance in form of the effective action under a change of non-commutativity scale of space-time to derive algebraic equations relating the various terms in the alpha- prime expansion. Moreover, we explicitly solve these equations in the simple case D=2, and we show, in particular, how to construct the minimal invariant derivative extension of the NBI action.

• Publication year

  2000

• Venue

  Advances in Theoretical and Mathematical Physics

• Publication date

  2000-06-01

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.4310/ATMP.2000.V4.N6.A4arXiv hep-th/0006018
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• On the equivalence between noncommutative and ordinary gauge theories

  2000cited by this paper
• Noncommutative Yang-Mills from equivalence of star products

  2000influential reference
• Constraints on effective Lagrangian of D-branes from non-commutative gauge theory

  2000cited by this paper
• The non-abelian Born-Infeld action and noncommutative gauge theory

  2000cited by this paper
• Born-Infeld action, supersymmetry and string theory

  1999cited by this paper
• Matrix Theory Star Products from the Born-Infeld Action

  1999cited by this paper
• Multiple Dp-branes in Weak Background Fields

  1999cited by this paper
• Derivative corrections to Dirac–Born–Infeld Lagrangian and non-commutative gauge theory

  1999cited by this paper
• Corrections to the abelian Born-Infeld action arising from noncommutative geometry

  1999cited by this paper
• Dielectric-Branes

  1999cited by this paper
• String theory and noncommutative geometry

  1999influential reference
• Curvature terms in D-brane actions and their M theory origin

  1999cited by this paper
• A Path Integral Approach¶to the Kontsevich Quantization Formula

  1999influential reference
• Multiple D0-branes in Weakly Curved Backgrounds

  1999cited by this paper
• D-brane Physics and Noncommutative Yang-Mills Theory

  1999cited by this paper
• On open string σ-model and noncommutative gauge fields

  1999cited by this paper
• D-branes and Deformation Quantization

  1999cited by this paper
• Holomorphic Curves from Matrices

  1998cited by this paper
• Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action

  1997cited by this paper
• Deformation Quantization of Poisson Manifolds

  1997influential reference
• On non-abelian generalisation of the Born-Infeld action in string theory

  1997influential reference
• Dirac-Born-Infeld Action from Dirichlet Sigma Model

  1989cited by this paper
• Loop corrections to conformal invariance for type-I superstrings

  1988cited by this paper
• Partition-function representation for the open superstring effective action: . Cancellation of Möbius infinites and derivative corrections to Born-Infeld lagrangian

  1988influential reference
• Open strings in background gauge fields

  1987cited by this paper
• Effective lagrangian for the open superstring from a 5-point function

  1987cited by this paper
• String loop corrections to beta functions

  1987cited by this paper
• Vector Field Effective Action in the Open Superstring Theory

  1986influential reference

• Dimensional reduction of the generalized DBI

  2014cites this paper
• Extended generalized geometry and a DBI-type effective action for branes ending on branes

  2014cites this paper
• Gauge Transformation of Double Field Theory for Open String

  2014cites this paper
• Nambu sigma model and effective membrane actions

  2012cites this paper
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory

  2012cites this paper
• Brane Effective Actions, Kappa-Symmetry and Applications

  2011cites this paper
• Emergent spacetime and the origin of gravity

  2008cites this paper
• Higher order contributions to the effective action of N= 2 and 4 supersymmetric Yang-Mills theories from heat kernel techniques in superspace

  2007cites this paper
• Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 \boundary" superspace

  2006cites this paper
• EMERGENT GRAVITY FROM NONCOMMUTATIVE SPACE–TIME

  2006influential citation
• Dirichlet branes, effective actions and supersymmetry

  2005cites this paper
• 5-field terms in the open superstring effective action

  2005cites this paper
• Relating branes and matrices

  2005cites this paper
• Exact Seiberg–Witten map, induced gravity and topological invariants in non-commutative field theories

  2004cites this paper
• Aspects of Noncommutativity and Holography in Field Theory and String Theory

  2004cites this paper
• Aspects of Noncommutativity and Holography in Field Theory and String Theory

  2004cites this paper
• Towards quantum dielectric branes: curvature corrections in Abelian beta function and non-Abelian Born–Infeld action

  2004cites this paper
• Towards an effective action for D‐branes

  2004cites this paper
• Abelian and non‐abelian D‐brane effective actions

  2004cites this paper
• Non-Abelian phenomena on D-branes

  2003cites this paper
• Non-Abelian phenomena on D-branes

  2003cites this paper
• Quantum Systems Exactly Habilitation

  2002cites this paper
• Open-String Actions and Noncommutativity Beyond the Large-B Limit

  2002cites this paper
• Quantum Systems Exactly

  2002cites this paper
• Towards an explicit expression of the Seiberg-Witten map at all orders

  2001cites this paper
• Derivative corrections from noncommutativity

  2001cites this paper
• Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map

  2001cites this paper
• Nonassociative Star Product Deformations for D-Brane World-Volumes in Curved Backgrounds

  2001cites this paper
• NonAbelian noncommutative gauge theory via noncommutative extra dimensions

  2001cites this paper
• D=10 Super-yang–mills at O(α  )

  2001cites this paper
• D=10 Super-Yang-Mills at O(alpha'^2)

  2001cites this paper
• The non-abelian Born–Infeld action at order F6

  2001cites this paper
• Supersymmetric non-abelian Born-Infeld revisited

  2001cites this paper
• Non-Linear / Non-Commutative Non-Abelian Monopoles Koji Hashimoto

  2001cites this paper
• Nonlinear/noncommutative non-Abelian monopoles

  2001cites this paper
• NON-ABELIAN NONCOMMUTATIVE GAUGE FIELDS AND SEIBERG–WITTEN MAP

  2000cites this paper
• ∗-Trek II: ∗n operations, open Wilson lines and the Seiberg–Witten map

  2000cites this paper
• The non-abelian Born-Infeld action and noncommutative gauge theory

  2000cites this paper
• World-volume potentials on D-branes

  2000cites this paper