Coupling of Yang-Mills to N = 4, d = 4 supergravity
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We couple N = 4, d = 4 supersymmetric Yang-Mills theory to supergravity. The scalars of the theory parametrize the coset (SO(n,6)/[SO(n)SO(6)])(SU(1,1)/U(1)). Keeping the composite local SO(n)SO(6)U(1) invariance intact, we gauge an (n + 6) parameter subgroup of SO(n,6) which is either (i) SU(2)SU(2)H (dim H = n), (ii) SO(4,1)H (dim H = n-4) or (iii) SO(6,1)H (dim H = n-15). In all these cases the theory has an indefinite potential. 1985.
