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Ramond-Ramond field strength couplings on D-branes · Around

2010

Ramond-Ramond field strength couplings on D-branes

Garousi, Mohammad R.

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By examining in details the disk level S-matrix element of one massless RR and one NSNS states at order O(\alpha'^2), we find the coupling of one RR and one NSNS fields on the world volume of a D$_p$-brane.

The non-zero couplings involve the first derivative of the RR field strengths F^{(p)}, F^{(p+2)} and F^{(p+4)}.
We then fix the on-shell ambiguity of the couplings by requiring consistency with the linear T-duality transformations.
Moreover, consistency with the non-linear T-duality requires that the RR field strength in the above couplings to be {\cal F}=d{\cal C} where {\cal C}=e^{B}C.

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