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Setting Limits on Supersymmetry Using Simplified Models
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Published on: November 15, 2013

Defect approach to giant graviton dynamics.

Junding Chen1,2, Yunfeng Jiang3,4, Xinan Zhou2,4

  • 1School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing 100049, People's Republic of China.

Reports on Progress in Physics. Physical Society (Great Britain)
|June 8, 2026
PubMed
Summary
This summary is machine-generated.

We introduce a new framework for analyzing light-light-heavy-heavy (LLHH) correlators in conformal field theories. This method reveals hidden symmetries and anomalous dimensions, offering insights into physics beyond planarity.

Keywords:
AdS/CFT correspondenceanalytic bootstrapdefectsgiant gravitonsnon-planarity

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory

Background:

  • Conformal Field Theories (CFTs) exhibit complex behavior, especially concerning correlations between particles of different 'weights'.
  • Analyzing these light-light-heavy-heavy (LLHH) correlators is crucial for understanding physics beyond the simplified planar limit, particularly in theories like N=4 Super Yang-Mills.

Purpose of the Study:

  • To develop a novel theoretical framework for analyzing LLHH correlators in CFTs.
  • To apply this framework to specific systems, such as giant gravitons in N=4 Super Yang-Mills, to uncover non-perturbative physics.
  • To identify and characterize hidden symmetries governing these correlators.

Main Methods:

  • Development of a zero-dimensional defect framework for LLHH correlator analysis.
  • Application of bootstrap techniques combined with the defect framework.
  • Computation of four-point functions for specific giant graviton and supergraviton configurations at strong coupling.
  • Operator Product Expansion (OPE) analysis of strong-coupling correlators.

Main Results:

  • A new framework for analyzing LLHH correlators in CFTs, particularly in N=4 Super Yang-Mills.
  • Computation of all four-point functions involving two maximal giant gravitons and two supergravitons at strong coupling.
  • Identification of a partially broken, higher-dimensional hidden symmetry (a defect extension of 10d hidden conformal symmetry).
  • Extraction of the complete spectrum of anomalous dimensions for defect-channel double-particle operators via OPE.

Conclusions:

  • The defect perspective offers a natural non-perturbative description for LLHH correlators.
  • Four-point conformal blocks simplify to defect two-point blocks in the heavy limit, validating the defect framework.
  • The identified hidden symmetry unifies correlator analysis across different coupling regimes.