Affiliation:
1. Walter Burke Institute for Theoretical Physics
2. University of California, Santa Barbara
3. Cornell University
Abstract
We investigate a family of invertible phases of matter with
higher-dimensional exotic excitations in even spacetime dimensions,
which includes and generalizes the Kitaev’s chain in 1+1d. The
excitation has \mathbb{Z}_2ℤ2
higher-form symmetry that mixes with the spacetime Lorentz symmetry to
form a higher group spacetime symmetry. We focus on the invertible
exotic loop topological phase in 3+1d. This invertible phase is
protected by the \mathbb{Z}_2ℤ2
one-form symmetry and the time-reversal symmetry, and has surface
thermal Hall conductance not realized in conventional time-reversal
symmetric ordinary bosonic systems without local fermion particles and
the exotic loops. We describe a UV realization of the invertible exotic
loop topological order using the SO(3)_-SO(3)−
gauge theory with unit discrete theta parameter, which enjoys the same
spacetime two-group symmetry. We discuss several applications including
the analogue of ``fermionization’’ for ordinary bosonic theories with
\mathbb{Z}_2ℤ2
non-anomalous internal higher-form symmetry and time-reversal
symmetry.
Funder
David and Lucile Packard Foundation
National Science Foundation
Simons Foundation
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
10 articles.
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