T-duality of anomalous Chern-Simons couplings

TL;DR

This paper derives new T-duality consistent couplings for anomalous D-brane Chern-Simons actions at order alpha'^2, resolving inconsistencies with standard T-duality rules.

Contribution

It introduces new couplings at order alpha'^2 for various RR potentials that are compatible with T-duality, B-field gauge transformations, and coordinate transformations.

Findings

New couplings at order alpha'^2 for RR potentials

Consistency with T-duality transformations achieved

Enhanced understanding of D-brane Chern-Simons actions

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