On Ghost Structure of Vacuum Superstring Field Theory
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 Q_even 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.
Cite
@article{arxiv.hep-th/0208009,
title = {On Ghost Structure of Vacuum Superstring Field Theory},
author = {Kazuki Ohmori},
journal= {arXiv preprint arXiv:hep-th/0208009},
year = {2010}
}
Comments
1+42 pages, 5 figures. v2: a reference added, and a brief comment added (footnote 14). v3: version to appear in NPB. Numerical coefficients in front of the kinetic operators, and some signs in the eqs. of motion, have been corrected. Some minor modifications