Fracton topological order in the continuum 

Weslei Fontana & Claudio Chamon

Boston University

In the second talk we will discuss how to obtain field theories for
fracton lattice models. This is done by representing the lattice
degrees of freedom with Dirac matrices, which are then related to
continuum fields by means of a “bosonization” map. This procedure
allows us to obtain effective theories which are of a
Chern-Simons-like form. we will show that these Chern-Simons-like
theories naturally encode the fractonic behavior of the excitations
and that these theories can describe even type-II fracton phases. 

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