Chiral primary cubic interactions from pp-wave supergravity

Abstract

We explicitly construct cubic interaction light-cone hamiltonian for the chiral primary system involving the metric fields and the self-dual four-form fields in the IIB pp-wave supergravity. The background fields representing pp-waves exhibit SO (4) perpendicular to x SO (4) parallel to x Z(2) invariance. It turns out that the interaction hamiltonian is precisely the same as that for the dilaton-axion system, except for the fact that the chiral primary system fields have the opposite parity to that of the dilaton-axion fields under the Z(2) transformation that exchanges two SO (4)'s.