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Article Dans Une Revue Journal of High Energy Physics Année : 2019

String theory integrands and supergravity divergences

Résumé

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} $ (Λ), consisting of the usual supergravity Lagrangian supplemented by an infinite series of higher-derivative vertices, including the much studied Δ$^{4}^{p}^{ + 6}^{q}$ℛ$^{4}$ 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.

Dates et versions

hal-01921687 , version 1 (14-11-2018)

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Boris Pioline. String theory integrands and supergravity divergences. Journal of High Energy Physics, 2019, 02, pp.148. ⟨10.1007/JHEP02(2019)148⟩. ⟨hal-01921687⟩
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