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Gapped Lineon and Fracton Models on Graphs
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
We introduce a stabilizer code that can be defined on any spatial lattice of the form , where is a general graph. We also present the low-energy…
Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
Meng Cheng, Nathan Seiberg
We analyze lattice Hamiltonian systems whose global symmetries have 't Hooft anomalies. As is common in the study of anomalies, they are probed by coupling the system to classical…
2+1d Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
The 2+1d continuum Lifshitz theory of a free compact scalar field plays a prominent role in a variety of quantum systems in condensed matter physics and high energy physics. It is…
Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
We study field theories with global dipole symmetries and gauge dipole symmetries. The famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in d…