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On Ghost Structure of Vacuum Superstring Field Theory

Kazuki Ohmori

hep-tharXiv:hep-th/0208009

Abstract

After discussing the general form of the kinetic operator around the tachyon vacuum, we determine the specific form of the pure-ghost kinetic operator Q by requiring the twist invariance of the action. We obtain a novel result that the Grassmann-even piece Qeven of Q must act differently on GSO(+) sector and on GSO(-) sector to preserve the twist invariance, and show that this structure is crucial for gauge invariance of the action. With this choice of Q, we construct a solution in an approximation scheme which is conjectured to correspond to a non-BPS D9-brane. We consider both 0-picture cubic and Berkovits' non-polynomial superstring field theories for the NS sector.

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