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It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism.
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M. Pretko, Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids . Phys. Rev. B 95, 115139 (2017)
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S. Vijay, J. Haah, L. Fu, Fracton Topological Order, Generalized Lattice Gauge Theory and Duality . Phys. Rev. B 94, 235157 (2016)
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E. Parker, An Apparent Paradox Concerning the Field of an Ideal Dipole . Eur. J. Phys. 38 025205 (2017)
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