1999/10/31 by Michael B. Green, Pierre Vanhove · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.61.104011
published as Phys.Rev. D61 (2000) 104011 · harvmac (b), 25 pages, 3 eps figures. v2: Factors of 2 corrected. Conclusion unchanged
arxiv created 1999/11/01 · arxiv updated 2009/11/30
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 s4 log s R4, where R4 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.