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

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

1999-10-06

arxiv.org/abs/hep-th/9910056v2

Phys.Rev. D61 (2000) 104011

Physics

High Energy Physics

High Energy Physics - Theory

harvmac (b), 25 pages, 3 eps figures. v2: Factors of 2 corrected. Conclusion unchanged

Scientific paper

10.1103/PhysRevD.61.104011

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.

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