SU(2) × SU(2) dilaton Weyl multiplets for maximal conformal supergravity in four, five, and six dimensions
摘要
New dilaton Weyl multiplets are constructed in four and five space-time dimensions for N = 4 and N = 2 conformal supergravity respectively. They are constructed from a mixture of the old dilaton weyl multiplets with an on-shell vector multiplet. The old dilaton Weyl multiplets have a USp(4) R-symmetry group whereas the new multiplets have SU(2) × SU(2) R-symmetry, which is a subgroup of USp(4). In six dimensions, for the first time, we construct a dilaton Weyl multiplet for (2, 0) conformal supergravity from a mixture of the standard Weyl multiplet and a tensor multiplet. The R-symmetry group for the dilaton Weyl multiplet in six dimensions is also SU(2) × SU(2).