Publication : t04/102
Covariant One-Loop Amplitudes in D=11
Anguelova L. (The Michigan Center for Theoretical Physics (MCTP), Department of Physics, University of Michigan, 3444A Randall Laboratory, 500 E. University Ave., Ann Arbor, MI 48109-1120 USA)Grassi P.A. (C.N. Yang Institute for Theoretical Physics, SUNY at Stony Brook Stony Brook, NY 11794-3840, USA)
Vanhove P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2004
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: Cwedge X_8 in M-theory; Bwedge 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.
Revue : Nucl. Phys. B 702 269-306 (2004)
DOI : 10.1016/j.nuclphysb.2004.09.024
Preprint : arXiv:hep-th/0408171
Keywords : Pure spinors; Superparticle; Eleven dimensions
Numéro Exterieur : MCTP-04-46 ; YITP-04-41 ; NEIP-04-04
Langue : Anglais
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