Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-20
JHEP 0402:011,2004
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, Latex, no figures. Published version
Scientific paper
10.1088/1126-6708/2004/02/011
We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic operator between two states. We proceed by lifting the pure spinor ghost constraints and regaining them through a BRST cohomology. We are then able to perform a BRST quantization of the system in the usual way, except for some interesting subtleties. Since the pure spinor constraints are reducible, ghosts for ghosts terms are needed, which have so far been calculated up to level 4. Even without a completion of these terms, we are still able to calculate arbitrary matrix elements of a physical operator between two physical states.
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