D-brane in R-R Field Background

Abstract

The purpose of this paper is to understand the low energy effective theory of a Dp-brane in the background of a large constant R-R (p-1)-form field. We start with the M5-brane theory in large C-field background. The C-field background defines a 3-dimensional volume form on an M5-brane, and it is known that the low energy M5-brane theory can be described as a Nambu-Poisson gauge theory with the volume-preserving diffeomorphism symmetry (VPD). Via a double dimensional reduction we obtain a D4-brane in R-R 3-form field background. This theory has both the usual U(1) gauge symmetry and the new symmetry of VPD. We find that the gauge potential for VPD is electric-magnetic dual to the U(1) gauge potential, sharing the same physical degrees of freedom. The result can be generalized to Dp-branes.

26 pages, latex, minor modification in the introduction section

References in corpus (20)

• String Theory and Noncommutative Geometry
• Bound States Of Strings And $p$-Branes
• Algebraic structures on parallel M2-branes
• Comments on Multiple M2-branes
• On Foundation of the Generalized Nambu Mechanics
• Noncommutative Open String and D-brane
• D-branes and Deformation Quantization
• Covariant Action for the Super-Five-Brane of M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• World-Volume Action of the M Theory Five-Brane
• Non-commutative superspace from string theory
• D=11, p=5
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• Covariant Field Equations of the M Theory Five-Brane
• On the equivalence of different formulations of the M Theory five--brane
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• Deformations of Chiral Two-Forms in Six Dimensions
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• A toy model of open membrane field theory in constant 3-form flux
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background

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• Generalized Yang-Mills Theory and Gravity
• Seiberg-Witten Map for D-branes in Large R-R Field Background
• $(p-1)$-Bracket for D$p$-branes in Large R-R Field Background
• Fuzzy Kaluza-Klein induced M2's from a single M5