Seiberg-Witten Map for D-branes in Large R-R Field Background

Abstract

We obtain a Seiberg-Witten map for the gauge sector of multiple D$p$-branes in a large R-R $(p-1)$-form field background up to the first-order in the inverse R-R field background. By applying the Seiberg-Witten map and then electromagnetic duality on the non-commutative D3-brane theory in the large R-R 2-form background, we find the expected commutative diagram of the Seiberg-Witten map and electromagnetic duality. Extending the U(1) gauge group to the U($N$) gauge group, we obtain a commutative description of the D-branes in the large R-R field background. This construction is different from the known result.

18 pages, minor changes, reference changed

References in corpus (4)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• D-brane in R-R Field Background

Cited by in corpus (2)

• $(p-1)$-Bracket for D$p$-branes in Large R-R Field Background
• Brane bound states, deformations and OM