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 (22)

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• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
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Cited by in corpus (23)

• Higher-derivative couplings in string theory: dualities and the B-field
• M-theory and Type IIA Flux Compactifications
• Duality constraints on effective actions
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• T-duality of the Riemann curvature corrections to supergravity
• Ricci curvature corrections to type II supergravity
• S-matrix elements from T-duality
• Higher Derivative Corrections to O-plane Actions: NS-NS Sector
• On S-duality of D${}_3$-brane S-matrix
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• New Examples of Flux Vacua
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• D-brane couplings and Generalised Geometry
• S-duality constraint on higher-derivative couplings
• S-duality of color-ordered amplitudes
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• On Chern-Simons Couplings at order $O({\alpha }^{\prime 2})$