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Area of Science:

  • Theoretical physics
  • Quantum field theory
  • String theory

Background:

  • Higher-spin gauge fields are fundamental in theoretical physics.
  • The Fronsdal action describes free massless higher-spin particles.
  • Gauging global symmetries is a standard method for introducing interactions.

Purpose of the Study:

  • To investigate the consistency of Noether interactions for higher-spin gauge fields.
  • To determine if the Fronsdal program can be completed for interacting theories.

Main Methods:

  • Analysis of classical field theory on anti-de Sitter spacetimes.
  • Examination of nonlocal obstructions to gauge field interactions.

Main Results:

  • A no-go result is presented for consistent Noether interactions.
  • A nonlocal obstruction prevents consistent interacting theories at the classical level.
  • The free Fronsdal action cannot be consistently extended to interacting theories via gauging.

Conclusions:

  • The Fronsdal program for higher-spin gauge fields is incomplete.
  • New theoretical frameworks beyond classical field theory are needed.
  • Consistent interactions may require novel guiding principles.