Abstract
Motivated by the appearance of associativity anomalies in the context of superstring field theory, we give a generalized solution built from boundary condition changing operators which can be associated to a generic tachyon vacuum in the KBc subalgebra of the Okawa form. We articulate sufficient conditions on the choice of tachyon vacuum to ensure that ambiguous products do not appear in the equations of motion.
Highlights
After [1] it was immediately clear that the solution could be generalized to superstring field theory, at least in its formal structure
Motivated by the appearance of associativity anomalies in the context of superstring field theory, we give a generalized solution built from boundary condition changing operators which can be associated to a generic tachyon vacuum in the KBc subalgebra of the Okawa form
For simplicity we discuss the solution to the Chern-Simons-like equations of motion of cubic superstring field theory at picture zero [7, 8], but analogous considerations apply in the Wess-Zumino-Witten-like formulation [9]
Summary
We consider the solution to the Chern-Simons-like equations of motion for the superstring. The fields σ and σ are defined as in [1], but with the additional specification (for the superstring) that they represent insertions of matter superconformal primaries of dimension 0. This implies that their BRST variations are given by. This form of the solution generalizes the expression given in [1]. This expression for the solution, which does not appear in [1], has a potentially problematic collision between σ and σ in every term besides the first.
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