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Abstract
Making use of the Weil polynomial and the generalized commutator, we reformulate on shell N=2 supergravity based on OSp(2,4)⊃SO(1,3). The resulting action becomes a theory with OSp(2,4) ⊃SO(1,3) ×SO(2). Detrivialization terms used in the group manifold approach are derived from the Weil polynomial and the generalized commutator. Also in N=2 Poincaré supergravity we have the same results. Symmetries of underlying groups (for example, rotations and scale transformations) are useful tools for analysing theories.
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