Gravity on Noncommutative D-Branes
F. Ardalan, H. Arfaei, M.R. Garousi, A. Ghodsi

TL;DR
This paper calculates how a constant antisymmetric B field modifies the low-energy graviton scattering off D-branes in bosonic string theory, revealing first-order $\alpha'$ corrections to the D-brane action.
Contribution
It provides the first explicit computation of the B-field's effect on graviton scattering and modifies the D-brane effective action accordingly.
Findings
Derived the corrected effective action including B-field effects
Calculated the first-order $\alpha'$ modifications to scattering amplitudes
Identified the impact of the B-field on low-energy graviton interactions
Abstract
The effective action for the low energy scattering of two gravitons with a D-brane in the presence of a constant antisytmetric field in bosonic string theory is calculated and the modification to the standard D-brane action to first order in is obtained.
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