The low energy expansion of the one-loop type II superstring amplitude

Michael B. Green (1) , P. Vanhove (1)

1 DAMTP - Department of Applied Mathematics and Theoretical Physics

The one-loop four-graviton amplitude in either of the type II superstring theories is expanded in powers of the external momenta up to and including terms of order s^4 log s R^4, where R^4 denotes a specific contraction of four linearized Weyl tensors and s is a Mandelstam invariant. Terms in this series are obtained by integrating powers of the two-dimensional scalar field theory propagator over the toroidal world-sheet as well as the moduli of the torus. The values of these coefficients match expectations based on duality relations between string theory and eleven-dimensional supergravity.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Michael B. Green, P. Vanhove. The low energy expansion of the one-loop type II superstring amplitude. 1999. ⟨hal-00003613⟩