Regularizing Cubic Open Neveu-Schwarz String Field Theory

Abstract

After introducing non-minimal variables, the midpoint insertion of Y\bar Y in cubic open Neveu-Schwarz string field theory can be replaced with an operator N_ρdepending on a constant parameter ρ. As in cubic open superstring field theory using the pure spinor formalism, the operator N_ρis invertible and is equal to 1 up to a BRST-trivial quantity. So unlike the linearized equation of motion Y\bar Y QV=0 which requires truncation of the Hilbert space in order to imply QV=0, the linearized equation N_ρQV=0 directly implies QV=0.

6 pages harvmac, added footnote and reference

References in corpus (4)

• Tachyon Condensation in Superstring Field Theory
• Pure Spinor Formalism as an N=2 Topological String
• Super-Poincare Invariant Superstring Field Theory
• The big picture

Cited by in corpus (7)

• Resolving Witten's Superstring Field Theory
• Analytical Solutions of Open String Field Theory
• The Geometry of Supermanifolds and New Supersymmetric Actions
• Exotic Universal Solutions in Cubic Superstring Field Theory
• Democratic Superstring Field Theory: Gauge Fixing
• Analytical solutions of pure-spinor superstring field theory
• $A_{\infty }$ Action of Open $\mathcal{N}=2$ Superstring Field Theory