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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.14574 |
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| _version_ | 1866917109810855936 |
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| author | Ma, Chen-Te |
| author_facet | Ma, Chen-Te |
| contents | 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($N$) 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relation between Commutative and Non-Commutative Descriptions of D-branes in Large R-R Field Background Ma, Chen-Te High Energy Physics - Theory 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($N$) 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. |
| title | Relation between Commutative and Non-Commutative Descriptions of D-branes in Large R-R Field Background |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.14574 |