Comments on Solutions of Vacuum Superstring Field Theory

We study classical solutions of vacuum version of Berkovits’ superstring field theory, focusing on the (super)ghost sector. We first argue that the supersliver state which is annihilated by η0, though it has the correct quantum numbers and solves the equation of motion, is actually non-perturbatively pure-gauge, and hence it fails to describe a D-brane. As a step toward the construction of non-trivial solutions, we calculate e−Φ̂Q̂eΦ̂ for twisted superslivers. As a by-product, we find that the bc-twisted sliver solution in bosonic VSFT can, at least formally, also be written as a pure-gauge configuration. E-mail: [email protected]