T-duality of anomalous Chern-Simons couplings

Abstract

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 $O({\alpha }^{\prime 2})$ for ${\mathcal{C}}^{(p-3)}$, ${\mathcal{C}}^{(p-1)}$, ${\mathcal{C}}^{(p+1)}$ and ${\mathcal{C}}^{(p+3)}$.

19 pages, Latex file, no figure, the version appears in NPB

References in corpus (3)

• Double Field Theory
• Ramond-Ramond field strength couplings on D-branes
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$

Cited by in corpus (1)

• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$