Supersymmetry in Open Superstring Field Theory

Abstract

We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic $A_{\infty }$ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.

37 pages

References in corpus (3)

• String Field Theory Solution for Any Open String Background
• Closed String Cohomology in Open String Field Theory
• Space-time supersymmetry in WZW-like open superstring field theory

Cited by in corpus (11)

• String Field Theory -- A Modern Introduction
• Classical algebraic structures in string theory effective actions
• Open superstring field theory based on the supermoduli space
• Superstring Field Theory and the Wess-Zumino-Witten Action
• One Loop Tadpole in Heterotic String Field Theory
• Heterotic string field theory with cyclic L-infinity structure
• Localization of effective actions in open superstring field theory
• Generalized ADHM equations from marginal deformations in open superstring field theory
• Light-cone reduction of Witten's open string field theory
• Type II superstring field theory with cyclic L-infinity structure
• Tree-level S-matrix of superstring field theory with homotopy algebra structure