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2020

FCC, Checkerboards, Fractons, and QFT

Gorantla, Pranay, Lam, Ho Tat, Seiberg, Nathan et al.

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We consider XY-spin degrees of freedom on an FCC lattice, such that the system respects some subsystem global symmetry.

We then gauge this global symmetry and study the corresponding $U(1)$ gauge theory on the FCC lattice.
Surprisingly, this $U(1)$ gauge theory is dual to the original spin system.
We also analyze a similar $\mathbb{Z}_N$ gauge theory on that lattice.

FCC, Checkerboards, Fractons, and QFT · Around

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Y. You, T. Devakul, S. L. Sondhi, and F. J. Burnell, Fractonic Chern-Simons and BF theories
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1904
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N. Seiberg, Field Theories With a Vector Global Symmetry
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1909
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Y. You, F. J. Burnell, and T. L. Hughes, Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
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1909
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M. Pretko, X. Chen, and Y. You, Fracton Phases of Matter
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2001
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A. Paramekanti, L. Balents, and M. P. A. Fisher, Ring exchange, the exciton bose liquid, and bosonization in two dimensions
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N. Seiberg and S.-H. Shao, Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
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2003
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N. Seiberg and S.-H. Shao, Exotic U ⁡ ( 1 ) U(1) Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
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2004
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N. Seiberg and S.-H. Shao, Exotic ℤ N \mathbb{Z}_{N} Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
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2004
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M. J. Lawler and E. Fradkin, Quantum hall smectics, sliding symmetry, and the renormalization group
2004
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