Topological Order and Subsystem Symmetry

ORAL

Abstract

When a system is invariant under a subsystem symmetry, it is as if it has a "gauge" symmetry on particular subregions. Motivated by this obervation, we show that subsystem symmetries can lead to topological features remenescent of those found in topological gauge theories. This is done by considering a subsystem symmetry generalization of a Chern-Simons field theory. Because of the subsystem symmetry, this model has a robust ground state degeneracy on torus and localized zero energy corner modes.

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Presenters

  • Julian May-Mann

    • University of Illinois at Urbana-Champaign

Authors

  • Julian May-Mann

    • University of Illinois at Urbana-Champaign

  • Taylor Hughes

    • University of Illinois at Urbana-Champaign
    • Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign
    • University of Illinois Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
    • Physics Institute for Condensed Matter Theory, University of Illinois Urbana-Champaign
    • Department of Physics, University of Illinois Urbana Champaign