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Action for the Maxwell–Einstein multiplet from nine-dimensional superspace
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The starting point is the Einstein–Hilbert action in nine-dimensional superspace. A special Dirac spinor with only half the degrees of freedom is defined in five-dimensional spacetime. The massless Kaluza–Klein ansatz is used in the dimensional reduction. After this reduction to four dimensions, the action contains a (minimal) supergravity multiplet, a Maxwell multiplet, and a scalar, which corresponds to the oscillation around the extra dimension. The locally supersymmetric (off-mass shell) Maxwell-Einstein action is obtained as a special case of the vanishing oscillation around the extra dimension.
Title: Action for the Maxwell–Einstein multiplet from nine-dimensional superspace
Description:
The starting point is the Einstein–Hilbert action in nine-dimensional superspace.
A special Dirac spinor with only half the degrees of freedom is defined in five-dimensional spacetime.
The massless Kaluza–Klein ansatz is used in the dimensional reduction.
After this reduction to four dimensions, the action contains a (minimal) supergravity multiplet, a Maxwell multiplet, and a scalar, which corresponds to the oscillation around the extra dimension.
The locally supersymmetric (off-mass shell) Maxwell-Einstein action is obtained as a special case of the vanishing oscillation around the extra dimension.
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