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Celestial Matrix Model.

Arjun Kar1, Lampros Lamprou1, Charles Marteau1

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We developed a stable nonperturbative model for Cangemi-Jackiw (CJ) gravity, enabling exact calculations in quantum gravity. This model reproduces CJ gravity

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • String Theory

Background:

  • Cangemi-Jackiw (CJ) gravity is a two-dimensional theory of flat spacetimes.
  • A stable nonperturbative completion for CJ gravity is needed for exact calculations.

Purpose of the Study:

  • To construct a Hermitian random matrix model providing a stable nonperturbative completion of CJ gravity.
  • To enable exact computations of observables in flat space quantum gravity.

Main Methods:

  • Construction of a Hermitian random matrix model.
  • Reproduction of the Euclidean partition function of CJ gravity to all orders in the topological expansion.
  • Exact computation of observables, including the Bondi Hamiltonian spectrum.

Main Results:

  • A stable nonperturbative completion of CJ gravity is achieved via a Hermitian random matrix model.
  • The matrix model reproduces the Euclidean partition function of CJ gravity with arbitrary boundaries.
  • The Bondi Hamiltonian spectrum in flat space quantum gravity is explicitly characterized.

Conclusions:

  • The developed matrix model offers a powerful tool for studying quantum gravity in flat spacetimes.
  • Results have implications for the flat space S-matrix and black hole physics.