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arXiv · hep-th/0107185

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

Niclas Wyllard
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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.

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Niclas Wyllard. 2001-08-30. Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F027

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