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Regularizing Cubic Open Neveu-Schwarz String Field Theory

arXiv:0901.3386 · doi:10.1088/1126-6708/2009/11/021

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