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Ambitwistor strings in four dimensions.

Yvonne Geyer1, Arthur E Lipstein1, Lionel Mason1

  • 1Mathematical Institute, Andrew Wiles Building,Woodstock Road, Oxford OX2 6CG, United Kingdom.

Physical Review Letters
|September 6, 2014
PubMed
Summary
This summary is machine-generated.

New ambitwistor string theories in four dimensions yield simpler formulas for gauge and gravity amplitudes. These theories offer greater flexibility, accommodating arbitrary supersymmetry levels and reducing complexity in calculations.

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Area of Science:

  • Theoretical Physics
  • High-Energy Physics
  • String Theory

Background:

  • Ambitwistor string theories offer a framework for calculating scattering amplitudes in quantum field theory.
  • Previous models often required maximal supersymmetry and resulted in complex amplitude formulas.

Purpose of the Study:

  • To develop new ambitwistor string theories in four dimensions for tree-level gauge and gravity amplitudes.
  • To obtain simpler amplitude formulas with arbitrary amounts of supersymmetry.

Main Methods:

  • Utilized twistors instead of vectors to represent ambitwistor space, the space of complex null geodesics.
  • Employed a novel assignment of world sheet spins for fields and used both twistor and dual twistor representatives for vertex operators.
  • Applied the ambitwistor procedure for calculating correlation functions, supported by solutions to helicity-refined scattering equations.

Main Results:

  • Developed more flexible ambitwistor string models applicable to theories with arbitrary supersymmetry.
  • Derived simpler formulas for tree-level gauge and gravity amplitudes with substantially reduced moduli.
  • Formulas were validated by comparison with existing results from Witten and Cachazo-Skinner.

Conclusions:

  • The new ambitwistor string theories provide a more versatile and efficient method for calculating scattering amplitudes.
  • The simplified amplitude formulas represent a significant advancement in theoretical physics, particularly for non-maximal supersymmetric theories.