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Double Copy Relation in AdS Space.

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  • 1Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.

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We reveal a double copy relation in Anti-de Sitter space (AdS_{5}) connecting amplitudes for supergravity, super Yang-Mills, and bi-adjoint scalar theories. This finding simplifies complex calculations in quantum field theory.

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Area of Science:

  • Theoretical physics
  • High-energy physics
  • String theory

Background:

  • Quantum field theories, including supergravity and super Yang-Mills, describe fundamental forces.
  • Calculating scattering amplitudes in these theories is computationally intensive.
  • Bi-adjoint scalar theories offer a simpler framework for studying gauge theory properties.

Purpose of the Study:

  • To establish a novel double copy relation in the specific context of Anti-de Sitter space (AdS_{5}).
  • To demonstrate how this relation connects seemingly different quantum field theories.
  • To provide a new tool for simplifying amplitude calculations.

Main Methods:

  • Utilizing the framework of the double copy, which relates gauge theories to gravity theories.
  • Analyzing tree-level four-point scattering amplitudes.
  • Working within the geometric setting of AdS_{5} spacetime.

Main Results:

  • A concrete double copy relation is presented for AdS_{5} amplitudes.
  • This relation explicitly links the scattering amplitudes of supergravity, super Yang-Mills, and bi-adjoint scalar theories.
  • The structure of the amplitudes is shown to be unified through this relationship.

Conclusions:

  • The double copy provides a powerful organizational principle for scattering amplitudes in quantum field theory.
  • This work extends the applicability of the double copy to the AdS_{5} context.
  • The discovered relation offers potential simplifications for future amplitude computations.