O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength

Abstract

It is known that the anomalous Chern-Simons (CS) coupling of O${}_p$-plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order ${\alpha }^{\prime 2}$. By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order ${\alpha }^{\prime 2}$. There are $1,6,28,20,19,2$ couplings corresponding to the R-R field strengths $F^{(p-4)}$, $F^{(p-2)}$, $F^{(p)}$, $F^{(p+2)}$, $F^{(p+4)}$ and $F^{(p+6)}$, respectively. We then impose the T-duality constraint on these couplings and on the CS coupling $C^{(p-3)}\wedge R\wedge R$ at order ${\alpha }^{\prime 2}$ to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.

30 pages, Latex file, no figure;v2 a mistake corrected, some comments added, the version appears in JHEP

References in corpus (7)

• Double Field Theory
• Duality and Dilaton
• Higher Derivative Brane Couplings from T-Duality
• Four-derivative couplings via T-duality constraint
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• Superstring Scattering from O-planes

Cited by in corpus (6)

• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$
• T-duality of D-brane versus O-plane actions