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Generalized Symmetries for Generalized Gravitons.

Valentin Benedetti1, Pablo Bueno2, Javier M Magan1

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|September 29, 2023
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Summary
This summary is machine-generated.

Generalized symmetries in linearized gravity appear in dual pairs, revealing D(D+1) conserved charges. Quantum commutators confirm these dual charges are non-zero for linked regions in higher-curvature gravities.

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Area of Science:

  • Theoretical physics
  • Quantum field theory
  • Gravitational physics

Background:

  • Generalized symmetries are crucial in quantum field theory.
  • Understanding conserved charges in linearized gravity is essential.

Purpose of the Study:

  • To construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions.
  • To identify the full set of nontrivial conserved charges and their properties.
  • To investigate these symmetries in linearized higher-curvature gravities.

Main Methods:

  • Constructing generalized symmetries based on first-principle quantum field theory considerations.
  • Identifying dual pairs of symmetries and associated conserved charges.
  • Computing quantum commutators of dual charges for different spatial region configurations.
  • Analyzing linearized higher-curvature gravities, including spin-0 and spin-2 modes.

Main Results:

  • Generalized symmetries in linearized gravity naturally appear in dual pairs.
  • A total of D(D+1) nontrivial conserved charges are identified, associated with 2-form and (D-2)-form currents.
  • Quantum commutators of dual charges are nonvanishing for nontrivially linked regions and zero otherwise.
  • In unitary higher-curvature gravities, the dual-pairs principle is respected, yielding similar charges to Einstein gravity.

Conclusions:

  • The study confirms the prediction of dual pairs for generalized symmetries in linearized gravity.
  • The identified conserved charges provide a complete set for these theories.
  • The findings extend to higher-curvature gravities, showing consistency with the dual-pairs principle in unitary cases.