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.

arXiv comment30 pages, Latex file, no figure;v2 a mistake corrected, some comments added, the version appears in JHEP

References in corpus (31)

• Dielectric-Branes
• Target Space Duality in String Theory
• Double Field Theory
• Noncompact Symmetries in String Theory
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Background independent action for double field theory
• K-theory and Ramond-Ramond charge
• An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories
• xTras: a field-theory inspired xAct package for Mathematica
• Duality and Dilaton
• Anomalies, Branes, and Currents
• Anomalous couplings for D-branes and O-planes
• Duality Beyond the First Loop
• Solution--Generating Transformations and the String Effective Action
• Gravitational Couplings of D-branes and O-planes
• Anomalous D-brane and orientifold couplings from the boundary state
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• Duality constraints on effective actions
• Higher Derivative Brane Couplings from T-Duality
• Four-derivative couplings via T-duality constraint
• Ramond-Ramond field strength couplings on D-branes
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• T-duality of anomalous Chern-Simons couplings
• $R^4$ terms in supergravities via T-duality constraint
• Four-Derivative Brane Couplings from String Amplitudes
• Minimal independent couplings at order ${\alpha }^{\prime 2}$
• Higher Derivative Corrections to O-plane Actions: NS-NS Sector
• Superstring Scattering from O-planes
• Three-Point Disc Amplitudes in the RNS Formalism
• Geometric Aspects of D-branes and T-duality

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• 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