T-duality of anomalous Chern-Simons couplings

preprint2011arXivOpen access

Abstract

It is known that the anomalous Dp_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(α′2)O(α'^2) for C(p−3){\cal C}^{(p-3)}, C(p−1){\cal C}^{(p-1)}, C(p+1){\cal C}^{(p+1)} and C(p+3){\cal C}^{(p+3)}.

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