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Celestial Dual for Maximal Helicity Violating Amplitudes.

Walker Melton1, Atul Sharma1, Andrew Strominger1

  • 1Center for the Fundamental Laws of Nature, <a href="https://ror.org/03vek6s52">Harvard University</a>, Cambridge, Massachusetts, USA.

Physical Review Letters
|September 13, 2024
PubMed
Summary
This summary is machine-generated.

A 2D conformal field theory holographically generates 4D maximal helicity violating scattering amplitudes. This theory, combining Liouville theory and Kac-Moody algebra, provides a new method for understanding celestial amplitudes in physics.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • Conformal field theories (CFTs) are crucial in understanding quantum phenomena.
  • Holography provides a bridge between different dimensions in theoretical physics.
  • Maximal helicity violating (MHV) amplitudes are fundamental in scattering calculations.

Purpose of the Study:

  • To demonstrate holographic generation of 4D maximal helicity violating tree-level scattering amplitudes.
  • To establish a connection between 2D conformal field theories and 4D scattering amplitudes.
  • To explore the emergence of celestial amplitudes from a specific 2D CFT.

Main Methods:

  • Utilizing a 2D conformal field theory with Liouville theory, Kac-Moody algebra, and free fermions.
  • Applying holographic principles and a holographic dictionary.
  • Analyzing correlators in the semiclassical large-c limit and relating them to 3D anti-de Sitter Witten diagrams.

Main Results:

  • A 2D CFT comprising Liouville theory, a chiral level one, rank N Kac-Moody algebra, and a free fermion holographically generates 4D MHV tree-level scattering amplitudes.
  • Correlators of the 2D CFT directly yield 4D leaf amplitudes.
  • 4D celestial amplitudes emerge as a translationally invariant combination of leaf amplitudes in the large-N and semiclassical large-c limit.

Conclusions:

  • The study successfully demonstrates holographic generation of 4D scattering amplitudes from a 2D CFT.
  • The findings offer a novel perspective on the relationship between 2D CFTs and 4D physics.
  • The research provides a calculational tool for understanding celestial amplitudes through Liouville correlators.