Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map

Preprint

30 August 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0107185

Abstract

We dimensionally reduce the four-derivative corrections to the parity-conserving part of the D9-brane effective action involving all orders of the gauge field, to obtain corrections to the actions for the lower-dimensional Dp-branes. These corrections involve the second fundamental form and correspond to a non-geodesic embedding of the Dp-brane into (flat) ten-dimensional space. In addition, we study the transformation of the corrections under the Seiberg-Witten map relating the ordinary and non-commutative theories. A speculative discussion about the higher-order terms in the derivative expansion is also included.

Keywords

DERIVATIVE CORRECTIONS
GEODESIC EMBEDDING
SEIBERG WITTEN
INFELD ACTION
BORN INFELD
WITTEN MAP
BRANE

All Related Versions

Version 1, 2001-07-23, ArXiv
Version 2, 2001-08-01, ArXiv
Version 3, 2001-08-30, ArXiv
Published version: Journal of High Energy Physics, 2001 (08), 027.

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