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Roles of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-odd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>multiplets in off-shell dimensional reduction of five-dimensional supergravity
We discuss the dimensional reduction of five-dimensional supergravity compactified on ${S}^{1}/{Z}_{2}$ keeping the $N=1$ off-shell structure. In particular, we clarify the roles of the ${Z}_{2}$-odd $N=1$ multiplets in such an off-shell dimensional reduction. Their equations of motion provide constraints on the ${Z}_{2}$-even multiplets and extract the zero modes from the …