In this article, the multiloop amplitude prescription using the super-Poincaré invariant pure spinor formalism for the superstring is reviewed. Unlike the RNS prescription, there is no sum over spin structures and surface terms coming from the boundary of moduli space can be ignored. Massless N-point multiloop amplitudes vanish for , which implies (with two mild assumptions) the perturbative finiteness of superstring theory. Also, terms receive no multiloop contributions in agreement with the Type IIB S-duality conjecture of Green and Gutperle.
Dans cet article, une prescription pour calculer des amplitudes de supercordes à plusieur boucles avec le formalisme invariant de (super-)Poincaré des spineurs purs est passé en revue. Contrairement à la prescription de RNS, il n'y a pas de somme sur les structures de spins et aucun termes du bord de l'espace des modules ne doit être ignoré. Les amplitudes à plusieur boucles avec N états externes de masse nulle sont nulles pour , ce qui implique (modulo deux hypothèses mineures) que la théorie des cordes perturbative est finie. En plus, les termes en ne recoivent pas de contributions à plusieur boucles en accord avec la conjecture de dualité S de Green et Gutperle pour la théorie de type IIB.
Mots-clés : Théorie des cordes, Amplitude à plusieur boucles, Supercordes
Nathan Berkovits 1
@article{CRPHYS_2005__6_2_185_0,
author = {Nathan Berkovits},
title = {Covariant multiloop superstring amplitudes},
journal = {Comptes Rendus. Physique},
pages = {185--197},
publisher = {Elsevier},
volume = {6},
number = {2},
year = {2005},
doi = {10.1016/j.crhy.2004.12.009},
language = {en},
}
Nathan Berkovits. Covariant multiloop superstring amplitudes. Comptes Rendus. Physique, Strings, gravity, and the quest for unification - Strings 04, part II, Volume 6 (2005) no. 2, pp. 185-197. doi : 10.1016/j.crhy.2004.12.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.12.009/
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