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Area of Science:

  • String Theory
  • Cosmology
  • Quantum Gravity

Background:

  • String theory predicts higher-order corrections to the Riemann tensor.
  • Understanding these corrections is crucial for developing a complete theory of quantum gravity.

Purpose of the Study:

  • To compute the cosmological reduction of the fourth power of the Riemann tensor at order α^{'}^{3}.
  • To verify the compatibility of these terms with O(9,9) symmetry.

Main Methods:

  • Cosmological reduction techniques.
  • Analysis of terms proportional to ζ(3).

Main Results:

  • The cosmological reduction of the Riemann tensor's fourth power at order α^{'}^{3} was computed.
  • This reduction was shown to be compatible with O(9,9) symmetry.

Conclusions:

  • The findings confirm Sen's general result regarding O(d,d) symmetry in classical string theory.
  • This provides further evidence for the robustness of string theory's symmetries at higher orders.