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Method to Measure Tone of Axial and Proximal Muscle
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Gravity from rational curves in twistor space.

Freddy Cachazo1, David Skinner

  • 1Perimeter Institute for Theoretical Physics, 31 Caroline Street, Waterloo, Ontario N2L 2Y5, Canada. fcachazo@perimeterinstitute.ca

Physical Review Letters
|May 18, 2013
PubMed
Summary

Researchers propose a novel formula for N=8 supergravity tree amplitudes, utilizing rational maps to twistor space. This new expression exhibits manifest N=8 supersymmetry and permutation symmetry, offering a significant advancement in theoretical physics research.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • N=8 supergravity is a leading candidate for a unified theory of fundamental forces.
  • Calculating scattering amplitudes in supergravity theories is notoriously complex.
  • Existing methods struggle to provide compact and manifestly symmetric expressions.

Purpose of the Study:

  • To introduce a new, conjectured formula for all tree amplitudes in N=8 supergravity.
  • To express these amplitudes using higher-degree rational maps to twistor space.
  • To ensure the formula possesses manifest N=8 supersymmetry and permutation symmetry.

Main Methods:

  • Development of a novel mathematical formula for scattering amplitudes.
  • Description of amplitudes via rational maps to twistor space.
  • Analysis of symmetry properties (supersymmetry and permutation).

Main Results:

  • A new formula conjectured to yield all tree amplitudes in N=8 supergravity.
  • The formula exhibits manifest N=8 supersymmetry and permutation symmetry.
  • The expression depends monomially on the infinity twistor, breaking conformal to Poincaré symmetry.
  • Successful analytic and numerical checks for up to eight external states.

Conclusions:

  • The proposed formula offers a powerful new tool for studying N=8 supergravity.
  • The twistor-space formulation provides deep insights into the structure of scattering amplitudes.
  • This work paves the way for further investigations into quantum gravity and string theory.