Relativistic Fractons and their Dust

Kavli Affiliate: Tom Melia

| First 5 Authors: Qiuyue Liang, Tom Melia, , ,

| Summary:

We define a relativistic version of the global symmetries responsible for the
restricted mobility of fracton quasiparticles. The theories have a symmetry
current that is proportional to a vector field that spontaneously breaks
Lorentz boost symmetry. We argue that the existence of a pressureless dust in
the early universe could be a consequence of this symmetry. We provide an
example of a fractonic scalar field with a quartic self-interaction evolving on
a Friedmann-Robertson-Walker background and show that the interaction gives
rise to a separately conserved fluid with equation of state $w=1$.

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