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

Oct, 1999
24 pages
Published in:
  • Phys.Rev.D 61 (2000) 104011
e-Print:
Report number:
  • DAMTP-1999-124,
  • CERN-TH-99-200,
  • SACLAY-SPH-T-99-071

Citations per year

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Abstract:
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.
  • string model
  • supersymmetry
  • dimension: 10
  • scattering amplitude: (4graviton)
  • effective action
  • expansion: momentum
  • propagator: scalar
  • duality
  • supergravity
  • invariance: modular