Randall-Sundrum two D-brane model
Tetsuya Shiromizu, Yoshiaki Himemoto, Keitaro Takahashi

TL;DR
This paper derives the gravitational theory in the Randall-Sundrum two D-brane model, revealing the negative tension brane and the scale transformation relation of gauge fields, with implications for gauge-gravity coupling.
Contribution
It provides a detailed derivation of the brane gravitational theory in the two D-brane setup, highlighting the negative tension brane and gauge field relations.
Findings
One D-brane has negative tension under Randall-Sundrum tuning.
Gauge fields on the brane are related by scale transformation via bulk fields.
Localized gauge fields do not couple to brane gravity.
Abstract
In Randall-Sundrum two D-brane system we derive the gravitational theory on the branes. It is turned out from the consistency that one D-brane has the negative tension brane under Randall-Sundrum tuning and both gauge fields on the brane are related by scale transformation through the bulk RR/NS-NS fields. As same with the single D-brane case, the gauge field which is supposed to be localised on the brane does not couple to the gravity on the branes.
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