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Setting Limits on Supersymmetry Using Simplified Models
07:46

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Published on: November 15, 2013

New relations for three-dimensional supersymmetric scattering amplitudes.

Till Bargheer1, Song He, Tristan McLoughlin

  • 1Department of Physics and Astronomy, Uppsala University, SE-751 08 Uppsala, Sweden. till.bargheer@physics.uu.se

Physical Review Letters
|September 26, 2012
PubMed
Summary

We found a duality between color and kinematics in supersymmetric Chern-Simons theories. This reveals a hidden three-algebra structure in supergravity, linking N=8 and N=16 theories.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • Supersymmetric Chern-Simons matter theories are crucial in understanding quantum field theories in lower dimensions.
  • Duality symmetries offer profound insights into the underlying structures of physical theories.
  • Investigating color-kinematic duality is key to simplifying complex scattering amplitudes.

Purpose of the Study:

  • To provide evidence for a duality between color and kinematics in 3D supersymmetric Chern-Simons matter theories.
  • To explore the implications of this duality for N=8 and N=16 supergravity theories.
  • To uncover hidden algebraic structures within these theoretical frameworks.

Main Methods:

  • Analysis of six-point scattering amplitudes in maximally supersymmetric N=8 Chern-Simons matter theory.
  • Rearrangement of kinematic factors to satisfy three-algebra identities.
  • Squaring N=8 amplitudes to construct N=16 supergravity amplitudes.

Main Results:

  • Demonstrated that kinematic factors of the six-point N=8 amplitude satisfy three-algebra identities.
  • Showed that N=8 amplitudes, when squared, yield N=16 supergravity amplitudes.
  • Established a connection between color-kinematic duality and three-algebra structures.

Conclusions:

  • The study provides strong evidence for a color-kinematic duality in 3D supersymmetric Chern-Simons matter theories.
  • A hidden three-algebra structure is revealed in the dynamics of N=16 supergravity.
  • This duality offers a new perspective on the relationships between different supersymmetric theories.