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We propose a holographic duality for a four-dimensional Wess-Zumino-Witten model and its two-dimensional chiral algebra dual. This framework matches gluon currents and amplitudes, validating the holographic principle.

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Area of Science:

  • High-energy theoretical physics
  • String theory and quantum gravity
  • Mathematical physics

Background:

  • The study explores holographic duality, a concept linking gravity in higher dimensions to quantum field theories in lower dimensions.
  • It focuses on a specific four-dimensional Wess-Zumino-Witten model with an SO(8) target manifold.
  • The model is coupled to scalar-flat Kähler gravity within the Burns metric background.

Purpose of the Study:

  • To propose and investigate a holographic duality for a specific Wess-Zumino-Witten model.
  • To identify the two-dimensional holographic dual as a chiral algebra derived from gauged β-γ systems.
  • To test the proposed duality by comparing theoretical predictions with observable quantities.

Main Methods:

  • Holographic principle application to a Wess-Zumino-Witten model coupled to gravity.
  • Construction of a two-dimensional chiral algebra using gauged β-γ systems with SO(8) flavor.
  • Calculation and matching of two-point correlators and amplitudes.

Main Results:

  • A holographic duality is established between the four-dimensional Wess-Zumino-Witten model and a two-dimensional chiral algebra.
  • Two-point correlators of soft gluon currents are successfully matched with two-point gluon amplitudes.
  • Leading operator product expansion coefficients align with collinear limits of three-point gluon amplitudes.

Conclusions:

  • The proposed holographic duality is validated through the successful matching of correlators and amplitudes.
  • This work provides a concrete example of holographic duality in a specific theoretical physics context.
  • The findings contribute to the understanding of quantum field theories and their gravitational duals.