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arXiv · 2412.18388

The compactified D-brane cylinder amplitude and T duality

J. X. Lu
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Abstract

In this paper, we address how to implement T duality to the closed string tree cylinder amplitude between a Dp brane and a Dp$'$ brane with $p - p' = 2 \,n$. For this, we first compute the closed string tree cylinder amplitude between these two D branes with common longitudinal and transverse circle compactifications. We then show explicitly how to perform a T duality to this amplitude along either a longitudinal or a transverse compactified direction to both branes. In the decompactification limit, we show that either the compactified cylinder amplitude or the T dual compactified cylinder one gives the known non-compactified one as expected.

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J. X. Lu. 2024-12-24. The compactified D-brane cylinder amplitude and T duality. https://doi.org/10.3390/mmphys1010003

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