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We use the superconformal method to construct the full off-shell action of N=(1,0), D=6 supergravity, which has apart from the graviton and the gravitino, a 2-form gauge field, a dilaton and a symplectic Majorana spinor.
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E. Bergshoeff, A. Salam and E. Sezgin, Supersymmetric R 2 R^{2} actions, conformal invariance and Lorentz Chern-Simons terms in six-dimensions and ten-dimensions , Nucl. Phys. B279
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