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Constructibility of AdS Supergluon Amplitudes.

Qu Cao1,2, Song He1,3,4,5, Yichao Tang1,6

  • 1CAS Key Laboratory of Theoretical Physics, <a href="https://ror.org/02xtbq882">Institute of Theoretical Physics</a>, Chinese Academy of Sciences, Beijing 100190, China.

Physical Review Letters
|July 29, 2024
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This study introduces a recursive method to construct tree-level supergluon amplitudes in Anti-de Sitter space (AdS_{5}). The approach simplifies complex calculations using R-symmetry and factorization, enabling amplitude determination.

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Area of Science:

  • High-energy physics
  • Quantum field theory
  • String theory

Background:

  • Calculating scattering amplitudes in Anti-de Sitter space (AdS_{5}) is complex.
  • Existing methods for tree-level amplitudes can be computationally intensive.

Purpose of the Study:

  • To develop a recursive method for constructing all tree-level n-point supergluon (scalar) amplitudes in AdS_{5}.
  • To simplify the calculation of these amplitudes through factorization and a flat-space limit.

Main Methods:

  • Utilizing a natural R-symmetry basis for planar color-ordered amplitudes.
  • Reducing amplitudes to 'partial amplitudes' with simplified pole structures.
  • Employing 'gauge invariance' to extract spinning amplitudes.
  • Using 'no-gluon kinematics' to determine higher-point scalar amplitudes.

Main Results:

  • A recursive construction for all tree-level n-point supergluon amplitudes in AdS_{5} is established.
  • The method is facilitated by R-symmetry and factorization properties.
  • Explicit results for up to 8-point scalar and 6-point single-gluon amplitudes are provided.

Conclusions:

  • The developed recursive method offers an efficient way to compute supergluon amplitudes in AdS_{5}.
  • The simplification through R-symmetry basis and partial amplitudes is a key advancement.
  • This work provides a powerful tool for theoretical physics research in curved spacetimes.