Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

PP-Wave Light-Cone Superstring Field Theory

A. Pankiewicz, B. Stefanski

TL;DR

The paper constructs a complete cubic interaction vertex and dynamical supercharges for light-cone superstring field theory in the pp-wave background, and verifies closure of the pp-wave superalgebra at first order in string coupling. By adding a μ-dependent prefactor to the Mandl-style exponential vertex, the authors obtain nontrivial amplitudes in the fermionic sector and ensure dynamic consistency with the superalgebra, extending prior flat-space results to the pp-wave setting. They derive explicit expressions for the prefactors, demonstrate their compatibility with kinematic and dynamic constraints, and compute several three-string amplitudes, comparing them to BMN-limit gauge theory predictions, including impurity-preserving and fermionic cases. The work provides concrete tools to explore the pp-wave–BMN correspondence beyond free string theory and highlights how D-branes in the pp-wave background may be relevant for gauge theory dynamics.

Abstract

We construct the cubic interaction vertex and dynamically generated supercharges in light-cone superstring field theory in the pp-wave background. We show that these satisfy the pp-wave superalgebra at first order in string coupling. The cubic interaction vertex and dynamical supercharges presented here differ from the expressions previously given in the literature. Using this vertex we compute various string theory three-point functions and comment on their relation to gauge theory in the BMN limit.

PP-Wave Light-Cone Superstring Field Theory

TL;DR

The paper constructs a complete cubic interaction vertex and dynamical supercharges for light-cone superstring field theory in the pp-wave background, and verifies closure of the pp-wave superalgebra at first order in string coupling. By adding a μ-dependent prefactor to the Mandl-style exponential vertex, the authors obtain nontrivial amplitudes in the fermionic sector and ensure dynamic consistency with the superalgebra, extending prior flat-space results to the pp-wave setting. They derive explicit expressions for the prefactors, demonstrate their compatibility with kinematic and dynamic constraints, and compute several three-string amplitudes, comparing them to BMN-limit gauge theory predictions, including impurity-preserving and fermionic cases. The work provides concrete tools to explore the pp-wave–BMN correspondence beyond free string theory and highlights how D-branes in the pp-wave background may be relevant for gauge theory dynamics.

Abstract

We construct the cubic interaction vertex and dynamically generated supercharges in light-cone superstring field theory in the pp-wave background. We show that these satisfy the pp-wave superalgebra at first order in string coupling. The cubic interaction vertex and dynamical supercharges presented here differ from the expressions previously given in the literature. Using this vertex we compute various string theory three-point functions and comment on their relation to gauge theory in the BMN limit.

Paper Structure

This paper contains 14 sections, 134 equations, 1 figure.

Table of Contents

  1. Introduction and Summary
  2. Review of free string theory on the pp-wave
  3. Interacting string theory
  4. The Complete ${\mathcal{O}}(g_{\text{s}})$ Superstring Vertex
  5. The Superalgebra and the Constituents of the Prefactors
  6. The dynamical generators at order ${\mathcal{O}}(g_{\text{s}})$
  7. 3-string amplitudes
  8. Amplitudes of bosonic states
  9. Amplitudes of fermionic states
  10. Some computational details
  11. Proof of equations \ref{['ppwave1']} and \ref{['ppwave2']}
  12. $\{Q,\widetilde{Q}\}$ at order ${\mathcal{O}}(g_{\text{s}})$
  13. The Functional Approach to the Prefactor
  14. Large-$\mu$ Expansions

Figures (1)

  • Figure 1: The worldsheet of the three string interaction vertex.