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Superstring Loop Amplitudes from the Field Theory Limit.

Yvonne Geyer1, Ricardo Monteiro2, Ricardo Stark-Muchão2

  • 1Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, Bangkok 10330, Thailand.

Physical Review Letters
|December 3, 2021
PubMed
Summary
This summary is machine-generated.

We present a new method to calculate loop-level superstring amplitudes using supergravity and scattering equations. This procedure simplifies complex calculations for type II superstrings, yielding new results at three loops.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Quantum Gravity

Background:

  • Calculating loop-level superstring amplitudes is crucial for understanding quantum gravity.
  • Existing methods face challenges with complexity at higher loop orders.
  • Type II superstring theory provides a framework for unifying forces.

Purpose of the Study:

  • To develop a novel procedure for determining moduli-space integrands of loop-level superstring amplitudes.
  • To connect superstring theory calculations to their field theory limits.
  • To provide a systematic method for analyzing higher-loop amplitudes.

Main Methods:

  • Utilizing BCJ double-copy representation of supergravity loop integrands.
  • Employing loop-level scattering equations to translate to ambitwistor string integrands.
  • Applying modular invariance to uplift formulas to higher-genus surfaces.

Main Results:

  • Demonstrated the procedure for the four-point amplitude at two loops, reproducing known results.
  • Conjectured a new formula for the three-loop amplitude consistent with previous findings.
  • Established a method applicable to supergravity results up to five loops.

Conclusions:

  • The proposed procedure offers a systematic and efficient way to compute superstring amplitudes.
  • This method bridges the gap between supergravity and superstring theory calculations.
  • The findings pave the way for future investigations into multi-loop amplitudes in string theory.