An Algebraic Model for the su(2|2) Light-Cone String Field Theory

TL;DR

This paper develops an algebraic framework for light-cone string field theory respecting su(2|2) supersymmetry, enabling construction of interaction terms for various backgrounds without explicit oscillator calculations.

Contribution

It introduces a novel algebraic method to construct supercharges and Hamiltonians for light-cone string field theory, extending to generic backgrounds beyond explicit oscillator methods.

Findings

Constructed interaction terms for the pp-wave background.

Proposed a systematic algebraic procedure for supercharges and Hamiltonians.

Analyzed the supergravity limit of the interaction terms.

Abstract

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.