Covariant One-Loop Amplitudes in D=11

Abstract

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.

41 pages; minor corrections, journal version

References in corpus (3)

• ICTP Lectures on Covariant Quantization of the Superstring
• On higher-order corrections in M theory
• Super D-branes from BRST Symmetry

Cited by in corpus (60)

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