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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Conformal Field Theory

Background:

  • The subleading soft-graviton theorem provides insights into gravitational scattering amplitudes.
  • Two-dimensional conformal field theories (CFT2) are characterized by Virasoro-Ward identities.

Purpose of the Study:

  • To construct an operator Tzz within the quantum gravity S-matrix.
  • To demonstrate that this operator satisfies the Virasoro-Ward identities of a CFT2.

Main Methods:

  • Utilizing the subleading soft-graviton theorem.
  • Performing four-dimensional tree-level quantum gravity S-matrix calculations.
  • Inserting the constructed operator Tzz.

Main Results:

  • Successfully constructed the operator Tzz.
  • Showed that Tzz insertion obeys the Virasoro-Ward identities.
  • Established a connection between Minkowskian null infinity and CFT2.

Conclusions:

  • The celestial sphere at null infinity acts as the Euclidean sphere of a CFT2.
  • The Lorentz group's SL(2,C) subgroup corresponds to the unbroken conformal symmetry of CFT2.