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World-Line Description of Fractons

Roberto Casalbuoni, Joaquim Gomis, Diego Hidalgo

Abstract

We formulate the word-line approach of the field theory of fractons and their symmetries. The distinction between the different models is based on their dispersion relations for the energy. In order to study the sub-system symmetries, we construct the Routhians associated with the particle Lagrangians considered. We also construct the pseudoclassical description of spinning fractons.

World-Line Description of Fractons

Abstract

We formulate the word-line approach of the field theory of fractons and their symmetries. The distinction between the different models is based on their dispersion relations for the energy. In order to study the sub-system symmetries, we construct the Routhians associated with the particle Lagrangians considered. We also construct the pseudoclassical description of spinning fractons.

Paper Structure

This paper contains 19 sections, 90 equations.

Table of Contents

  1. Introduction
  2. A class of Lagrangians quartic in the momenta
  3. The $(2,4)$-model
  4. Continuous symmetries of the $(2,4)$-model
  5. Routhian for $(2,4)$-model
  6. The $(1,4)$-model
  7. Continuous symmetries of the $(1,4)$-model
  8. Routhian for $(1,4)$-model
  9. A class of Lagrangians quadratic in the space momenta
  10. The $(2,2)'$-model
  11. Continuous symmetries of the $(2,2)'$-model
  12. Routhian for $(2,2)'$-model
  13. The $(1,2)'$-model
  14. Continuous symmetries of the $(1,2)'$-model
  15. The Routhian for $(1,2)'$-model
  16. ...and 4 more sections