Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-22
Nucl.Phys. B702 (2004) 269-306
Physics
High Energy Physics
High Energy Physics - Theory
41 pages; minor corrections, journal version
Scientific paper
10.1016/j.nuclphysb.2004.09.024
We generalize to the eleven-dimensional superparticle Berkovits' prescription for loop computations in the pure spinor approach to covariant quantization of the superstring. Using these ten- and eleven-dimensional results, we compute covariantly the following one-loop amplitudes: C\wedge X_8 in M-theory; B\wedge X_8 in type II string theory and F^4 in type I. We also verify the consistency of the formalism in eleven dimensions by recovering the correct classical action from tree-level amplitudes. As the superparticle is only a first approximation to the supermembrane, we comment on the possibility of extending this construction to the latter. Finally, we elaborate on the relationship between the present BRST language and the spinorial cohomology approach to corrections of the effective action.
Anguelova Lilia
Grassi Pietro Antonio
Vanhove Pierre
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