Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$

Abstract

Using the compatibility of the anomalous Chern-Simons couplings on D${}_p$-branes with the linear T-duality and with the antisymmetric B-field gauge transformations, some couplings have been recently found for $C^{(p-3)}$ at order $O({\alpha }^{\prime 2})$. We examine these couplings with the S-matrix element of one RR and two antisymmetric B-field vertex operators. We find that the S-matrix element reproduces these couplings as well as some other couplings. Each of them is invariant under the linear T-duality and the B-field gauge transformations.

30 pages, Latex file, one figure; the version appears in JHEP

References in corpus (5)

• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• Disk level S-matrix elements at eikonal Regge limit

Cited by in corpus (23)

• M-theory and Type IIA Flux Compactifications
• Duality constraints on effective actions
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$
• T-duality of anomalous Chern-Simons couplings
• T-duality of the Riemann curvature corrections to supergravity
• Four-Derivative Brane Couplings from String Amplitudes
• Ricci curvature corrections to type II supergravity
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• S-matrix elements from T-duality
• Disc amplitudes, picture changing and space-time actions
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• New Examples of Flux Vacua
• Tree-level S-matrix elements from S-duality
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• S-duality constraint on higher-derivative couplings
• S-duality of color-ordered amplitudes
• Three-Point Disc Amplitudes in the RNS Formalism
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• T-dual RR couplings on D-branes from S-matrix elements
• On Chern-Simons Couplings at order $O({\alpha }^{\prime 2})$