Noncommutative Dirac-Born-Infeld Action for D-brane

Abstract

We derive the noncommutative Dirac-Born-Infeld action for the $D$-brane, which governs dynamics of $D$-brane with a NS-NS $B$-field in the low energy regime. Depending on some details of the path integral prescriptions, both ordinary Dirac-Born-Infeld action and noncommutative one can be obtained by evaluating the same Polyakov string path integral for the open string ending on the $D$-brane. Thus, it establishes the equivalence of the noncommutative Dirac-Born-Infeld action and the ordinary one.

13 Pages, RevTex, added references

Cited by in corpus (8)

• Emergent Gravity from Noncommutative Spacetime
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions
• Tachyon Condensation, Boundary State and Noncommutative Solitons
• String Theory in Electromagnetic Fields
• Tachyon Condensation and Open String Field theory
• Open Superstring and Noncommutative Geometry
• String Field Theory and Perturbative Dynamics of Noncommutative Field Theory