Abstract
We construct the dilaton Weyl multiplet for N = 2 conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the supergravity auxiliary fields, following a similar pattern as in five and six dimensions. The resulting 24+24 component multiplet includes two gauge vectors and a gauge two-form and provides a variant formulation of N = 2 conformal supergravity. We also show how this dilaton Weyl multiplet is contained in the minimal 32+32 Poincaré supergravity multiplet introduced by Müller [1] in superspace.
Highlights
Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the supergravity auxiliary fields, following a similar pattern as in five and six dimensions
The resulting 24+24 component multiplet includes two gauge vectors and a gauge two-form and provides a variant formulation of N = 2 conformal supergravity. We show how this dilaton Weyl multiplet is contained in the minimal 32+32 Poincare supergravity multiplet introduced by Muller [1] in superspace
We constructed the dilaton Weyl multiplet in four dimensions. This differs from the standard Weyl multiplet in its auxiliary field content
Summary
Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the supergravity auxiliary fields, following a similar pattern as in five and six dimensions. One introduces a dynamical scalar field (the dilaton), a dynamical fermion (the dilatino), and a set of p-form gauge fields that lead to a new multiplet of 24 + 24 off-shell degrees of freedom.
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