Chiral primary cubic interactions from pp-wave supergravity

TL;DR

This paper constructs the explicit cubic interaction Hamiltonian for chiral primary fields in IIB pp-wave supergravity, revealing symmetry properties and parity differences with the dilaton-axion system.

Contribution

It provides the first explicit form of the cubic interaction Hamiltonian for chiral primary fields in the pp-wave supergravity background.

Findings

Interaction Hamiltonian matches that of the dilaton-axion system.

Chiral primary fields have opposite Z_2 parity compared to dilaton-axion fields.

The background exhibits SO(4)*SO(4)*Z_2 invariance.

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)*SO(4)*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.