Year: 2019
Type: article
Abstract: At low energies, interactions of massless particles in type II strings compactified on a torus T d are described by an effective Wilsonian action $$ \mathcal{S} $$ S (Λ), consisting of the usual supergravity Lagrangian supplemented by an infinite series of higher-derivative vertices, including the much studied Δ4p + 6q ℛ4 gravitational interactions. Using recent results on the asymptotics of the integrands governing four-graviton scattering at genus one and two, I determine the Λ-dependence of the coefficient of the above interaction, and show that the logarithmic terms appearing in the limit Λ → 0 are related to UV divergences in supergravity amplitudes, augmented by stringy interactions. This provides a strong consistency check on the expansion of the integrand near the boundaries of moduli space, in particular it elucidates the appearance of odd zeta values in these expansions. I briefly discuss how these logarithms are reflected in non-analytic terms in the low energy expansion of the string scattering amplitude.
Source: Journal of High Energy Physics
Author: Boris Pioline
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Agence Nationale de la Recherche
OpenAlex ID: W2898416907