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On RR couplings on D-branes at order $O(\alpha'^2)$ · Around

2010

On RR couplings on D-branes at order $O(\alpha'^2)$

Garousi, Mohammad R., Mir, Mozhgan

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Recently, it has been found that there are couplings of the RR field strength $F^{(p)}$ and the B-field strength $H$ on the world volume of D$_p$-branes at order ${\cal O}(\alpha'^2)$.

These couplings which have both world-volume and transverse indices, are invariant under the linear T-duality transformations.
Consistency with the nonlinear T-duality indicates that the RR field strength $F^{(p)}$ in these couplings should be replaced by ${\cal F}^{(p)}=d{\cal C}^{(p-1)}$ where ${\cal C}=e^{B}C$.
This replacement, however, reproduces some non-gauge invariant terms.

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2010

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