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Fracton Infrared Triangle.

Alfredo Pérez1,2, Stefan Prohazka3, Ali Seraj4

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Summary
This summary is machine-generated.

Isolated charged particles, called fractons, are immobile in theories with conserved dipole moments. Researchers coupled these dipoles to fracton gauge theory, revealing a double kick memory effect and a novel dipole soft theorem.

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Area of Science:

  • Theoretical physics
  • Gauge theory
  • Condensed matter physics

Background:

  • Conserved dipole moments imply immobile fractons but mobile dipoles.
  • Understanding infrared (IR) structure is crucial in gauge theories.
  • Previous studies lacked a framework for dipole behavior in fracton gauge theory.

Purpose of the Study:

  • To analyze the universal infrared structure when dipoles are coupled to fracton gauge theory.
  • To uncover observable effects and theorems related to dipole dynamics.
  • To explore the realization of infrared triangle structures beyond Lorentz symmetry.

Main Methods:

  • Coupling dipoles to the fracton gauge theory.
  • Analysis of the universal infrared structure.
  • Relating the double kick memory effect to a novel dipole soft theorem.
  • Investigating asymptotic symmetries.

Main Results:

  • An observable double kick memory effect was uncovered.
  • A novel dipole soft theorem was established.
  • The first realization of an infrared triangle beyond Lorentz symmetry was demonstrated.
  • The robustness of IR structures was shown.

Conclusions:

  • The coupling of dipoles to fracton gauge theory reveals significant universal infrared structures.
  • The findings establish a novel dipole soft theorem and an infrared triangle beyond Lorentz symmetry.
  • This work provides a foundation for investigating these phenomena in condensed matter systems.