It is known that the anomalous D$_p$-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order O( alpha ^2) for { cal C}^{(p-3)} , { cal C}^{(p-1)} , { cal C}^{(p+1)} and { cal C}^{(p+3)} .

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