Relation between Commutative and Non-Commutative Descriptions of D-branes in Large R-R Field Background
High Energy Physics - Theory
2025-12-01 v2
Abstract
We derive the Seiberg-Witten map to first order in the non-commutativity parameter for D-branes in the presence of a large R-R background field. This result enables a systematic investigation of the commutative formulation of the corresponding Lagrangian. In the SU() sector, the map introduces a non-local operator. In contrast, in the U(1) sector, this non-locality can be removed. This contrast suggests that the essential source of non-local behavior lies in the non-Abelian degrees of freedom. The commutative description obtained here offers further insight into both the Dirac-Born-Infeld structure and its possible extensions to the dynamics of M5-branes.
Cite
@article{arxiv.2511.14574,
title = {Relation between Commutative and Non-Commutative Descriptions of D-branes in Large R-R Field Background},
author = {Chen-Te Ma},
journal= {arXiv preprint arXiv:2511.14574},
year = {2025}
}
Comments
18 pages, 1 figure, minor changes, reference added