On the Picture Dependence of Ramond-Ramond Cohomology

Details On the Picture Dependence of Ramond-Ramond Cohomology On the Picture Dependence of Ramond-Ramond Cohomology

1997-11-12

arxiv.org/abs/hep-th/9711087v2

Nucl.Phys. B523 (1998) 311-343

Physics

High Energy Physics

High Energy Physics - Theory

Added one footnote and five references

Scientific paper

10.1016/S0550-3213(98)00132-1

Closed string physical states are BRST cohomology classes computed on the space of states annihilated by $b_0^-$. Since $b_0^-$ does not commute with the operations of picture changing, BRST cohomologies at different pictures need not agree. We show explicitly that Ramond-Ramond (RR) zero-momentum physical states are inequivalent at different pictures, and prove that non-zero momentum physical states are equivalent in all pictures. We find that D-brane states represent BRST classes that are nonpolynomial on the superghost zero modes, while RR gauge fields appear as polynomial BRST classes. We also prove that in $x$-cohomology, the cohomology where the zero mode of the spatial coordinates is included, there is a unique ghost-number one BRST class responsible for the Green-Schwarz anomaly, and a unique ghost number minus one BRST class associated with RR charge.

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