L. Castellani et I. Pesando, THE COMPLETE SUPERSPACE ACTION OF CHIRAL D = 10, N = 2 SUPERGRAVITY, International journal of modern physics A, 8(6), 1993, pp. 1125-1138
We construct the complete superspace action L of chiral D = 10, N = 2
supergravity. The self-duality condition on the field strength F(a1-a5
) is derived as an equation of motion in superspace. The space-time re
striction of L is not supersymmetric, since the self-duality condition
does not follow from the space-time variational equations. However, s
upersymmetry can be restored via the introduction of a Lagrange multip
lier term.