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Superstring BRST cohomology
Friedemann Brandt, Alexander Kling and Maximilian Kreuzer
We first derive all world-sheet action functionals for NSR superstring models with local (1,1) supersymmetry and any number of abelian gauge fields. The result includes the well-known superstring action in a general background, as well as locally supersymmetric D-string actions of Born-Infeld type. Then we prove for these models that the BRST cohomology groups Hg(s), g < 4 are isomorphic to those of the corresponding bosonic string models, whose cohomology is fully known. This implies that the nontrivial global symmetries, Noether currents, backgroundcharges, consistent deformations and candidate gauge anomalies of an NSR (1,1) superstring model are in one-to-one correspondence to their bosonic counterparts.