Cancellation of leading divergences in multiloop closed superstring amplitudes |
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| Affiliation: | 1. Université Paris Descartes, Sorbonne Paris Cité, Faculté de Médecine, Paris, France;2. AP-HP, Hôpitaux Universitaires Paris Ouest, Service de Psychiatrie de l''adulte et du sujet âgé, Paris, France;3. Inserm, U894, Centre Psychiatrie et Neurosciences, Paris, France;4. Inserm (U1153); Inra; Cnam; University of Paris 5,7 & 13, Paris, France;5. Inra, ENS, EHESS, CNRS, Centre Maurice Halbwachs UMR 8097, Paris, France;6. Inserm, Population-based Epidemiological Cohorts Unit, UMS 011, Villejuif, France;7. Service de Nutrition, hôpital européen Georges-Pompidou, Paris, France |
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| Abstract: | We discuss the general problem of divergences and the particularly important “tadpole” configuration for multiloop amplitudes in the closed superstring - or heterotic string - covariant theory, with any number of external legs. We show that, due to a factor coming from the supermoduli, the tachyon divergence in the tadpole is cancelled in each spin structure contribution separately. |
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