  We investigate algebraic structure of light-cone string field theory which
respects the spacetime supersymmetry su(2|2). Extracting building blocks from
the explicit oscillator expressions of light-cone superstring field theory on
the pp-wave and the flat background, we propose a model for more generic
backgrounds by giving an algebraic procedure to construct supercharges and
Hamiltonian without referring to explicit oscillator expressions. Based on this
strategy, we systematically construct interaction terms of light-cone string
field theory on the pp-wave background and some examples of its generalization.
We also study the supergravity limit of the interaction terms on the pp-wave
background.
