T-duality of O-plane action at order ${\alpha }^{\prime 2}$

Abstract

We use compatibility of O-plane action with nonlinear T-duality as a guiding principle to find all NS-NS couplings in the O-plane action at order ${\alpha }^{\prime 2}$. We find that the dilaton couplings appear in the string frame only via the transformation ${\hat{R}}_{\mu \nu }\to {\hat{R}}_{\mu \nu }+{\nabla }_{\mu }{\nabla }_{\nu }\varphi$.

12 pages, Latex file, no figure; v2:a typo corrected, it appears in PLB

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