@article{19c5f993ee814501b489cbf268c8b3a2,
title = "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 ∧ X8 in M-theory; B ∧ X8 in type II string theory and F4 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.",
keywords = "Eleven dimensions, Pure spinors, Superparticle",
author = "Lilia Anguelova and Grassi, \{Pietro Antonio\} and Pierre Vanhove",
note = "Funding Information: The authors would like to thank the organizers of the second Simons Workshop in Stony Brook, 2004, for providing a very nice environment, where this paper could be completed, and for financial support. We would like to thank Nathan Berkovits for many useful discussions and for reading the manuscript. We are also grateful to M. Ro{\v c}ek, W. Siegel and P. van Nieuwenhuizen for positive feedback. P.A.G. thanks the institute IHES, Bures-sur-Yvette, for hospitality during the initial stages of this work and also L. Castellani and A. Lerda for useful conversations. P.V. thanks the LPTHE of Jussieu and the Physics Department of Neuch{\^a}tel University for hospitality. ",
year = "2004",
month = dec,
day = "6",
doi = "10.1016/j.nuclphysb.2004.09.024",
language = "English",
volume = "702",
pages = "269--306",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",
}