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We propose nonabelian higher-rank gauge theories in 2+1D and 3+1D.
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Novel algebraic boson liquid phase with soft graviton excitations (2006),
C. Xu, · 2006
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Higher-form gauge symmetries in multipole topological phases ,
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Quantum Smectic Gauge Theory ,
L. Radzihovsky, · 2009
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Fracton phases via exotic higher-form symmetry-breaking ,
M. Qi, L. Radzihovsky and M. Hermele, · 2010
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Topological order in an exactly solvable 3d spin model ,
S. Bravyi, B. Leemhuis and B. M. Terhal, · 2010
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Fractonic gauge theory of smectics (2020),
Z. Zhai and L. Radzihovsky, · 2012
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Higher-spin Witten effect and two-dimensional fracton phases ,
M. Pretko, · 2017
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Skyrmions in Condensed Matter ,
J. H. Han, · 2017
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Emergent phases of fractonic matter ,
A. Prem, M. Pretko and R. M. Nandkishore, · 2018
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Fracton-Elasticity Duality ,
M. Pretko and L. Radzihovsky, · 2018
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Symmetry Enriched Fracton Phases from Supersolid Duality ,
M. Pretko and L. Radzihovsky, · 2018
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Particle-hole symmetry and composite fermions in fractional quantum hall states ,
D. X. Nguyen, S. Golkar, M. M. Roberts and D. T. Son, · 2018
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Bimetric Theory of Fractional Quantum Hall States ,
A. Gromov and D. T. Son, · 2018
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Fractons ,
R. M. Nandkishore and M. Hermele, · 2019
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Towards classification of fracton phases: The multipole algebra ,
A. Gromov, · 2019
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Chiral topological elasticity and fracton order ,
A. Gromov, · 2019
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Non-abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices ,
J. Wang and S.-T. Yau, · 2020
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Higher-rank tensor non-abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, noether’s theorem, and gauging ,
J. Wang, K. Xu and S.-T. Yau, · 2021
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