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This study analyzes correlation functions in 4D N=4 super Yang-Mills (SYM) theory. Researchers used analytic bootstrap to determine correlators, revealing a hidden symmetry applicable at strong and weak coupling.

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Area of Science:

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

Background:

  • Maximal giant gravitons and 1/2-BPS operators are key components in 4D N=4 SYM.
  • Correlation functions in quantum field theories are crucial for understanding their dynamics.

Purpose of the Study:

  • To analyze correlation functions of two maximal giant gravitons and two light 1/2-BPS operators.
  • To determine these correlators at strong coupling using analytic bootstrap.
  • To identify underlying symmetries governing these correlations.

Main Methods:

  • Utilizing analytic bootstrap techniques to fix correlation functions.
  • Treating correlators as two-point functions in a zero-dimensional defect setting.
  • Exploring symmetries of the results at both strong and weak coupling.

Main Results:

  • All infinite correlation functions for arbitrary 1/2-BPS operators were determined.
  • A hidden higher-dimensional symmetry was discovered, simplifying the results into a generating function.
  • Evidence for this symmetry was found to extend to weak coupling for loop integrands.

Conclusions:

  • The study successfully determined complex correlation functions in 4D N=4 SYM.
  • A significant hidden symmetry was uncovered, providing a unified description of the results.
  • The findings suggest a deeper, unifying principle in the theory's structure across different coupling regimes.