Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory
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We extend our exploration of nonstandard continuum quantum field theories in 2+12+1 dimensions to 3+13+1 dimensions. These theories exhibit exotic global symmetries, a peculiar spectrum of charged states, unusual gauge symmetries, and surprising dualities. Many of the systems we study have a known lattice construction. In particular, one of them is a known gapless fracton model. The novelty here is in their continuum field theory description. In this paper, we focus on models with a global U(1)U(1) symmetry and in a followup paper we will study models with a global \mathbb{Z}_NℤN symmetry.
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1999 ◽
Vol 08
(02)
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pp. 125-163
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2006 ◽
Vol 21
(02)
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pp. 297-312
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2014 ◽
Vol 25
(04)
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pp. 1450027
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2007 ◽
Vol 22
(08n09)
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pp. 1727-1734
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