• Corpus ID: 239024822

Anomaly Inflow for Subsystem Symmetries

@inproceedings{Burnell2021AnomalyIF,
  title={Anomaly Inflow for Subsystem Symmetries},
  author={Fiona J. Burnell and Trithep Devakul and Pranay Gorantla and Ho Tat Lam and Shu-Heng Shao},
  year={2021}
}
We study ’t Hooft anomalies and the related anomaly inflow for subsystem global symmetries. These symmetries and anomalies arise in a number of exotic systems, including models with fracton order such as the X-cube model. As is the case for ordinary global symmetries, anomalies for subsystem symmetries can be canceled by anomaly inflow from a bulk theory in one higher dimension; the corresponding bulk is therefore a non-trivial subsystem symmetry protected topological (SSPT) phase. We… 

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References

SHOWING 1-10 OF 64 REFERENCES
Anomalies in the space of coupling constants and their dynamical applications II
We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group
Anomalies in the space of coupling constants and their dynamical applications I
It is customary to couple a quantum system to external classical fields. One application is to couple the global symmetries of the system (including the Poincaré symmetry) to background gauge fields
Generalized global symmetries
A bstractA q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. Wilson lines, surface defects, etc., and the charged excitations have q
Foliated fracton order from gauging subsystem symmetries
Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support within a
Fractons with twisted boundary conditions and their symmetries
We study several exotic systems, including the X-cube model, on a flat three-torus with a twist in the xy-plane. The ground state degeneracy turns out to be a sensitive function of various
Subsystem symmetry protected topological order
In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along lines or planes in
Emergent anomalous higher symmetries from topological order and from dynamical electromagnetic field in condensed matter systems
  • X. Wen
  • Physics
    Physical Review B
  • 2019
Global symmetry (0-symmetry) acts on the whole space while higher k-symmetry acts on all the codimension-k closed subspaces. The usual condensed matter lattice theories do not include dynamical
Field theories with a vector global symmetry
Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a continuous global symmetry, whose charge is a spatial vector. We present several such symmetries and
Comments on foliated gauge theories and dualities in 3+1d
We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent
Symmetric fracton matter: Twisted and enriched
In this paper, we explore the interplay between symmetry and fracton order, motivated by the analogous close relationship for topologically ordered systems. Specifically, we consider models with 3D
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4
5
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