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We study complex scalar theories with dipole symmetry and uncover a no-go theorem that governs the structure of such theories and which, in particular, reveals that a Gaussian theory with linearly realised dipole symmetry must be Carrollian.
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2004
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X. Bekaert and N. Boulanger, “Tensor gauge fields in arbitrary representations of GL(D,R): Duality and Poincare lemma,” Commun. Math. Phys
2004
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2009
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P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys.Rev
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2017
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M. Pretko, “Generalized electromagnetism of subdimensional particles: A spin liquid story,” Physical Review B
2017
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M. Pretko, “Higher-Spin Witten Effect and Two-Dimensional Fracton Phases,” Phys. Rev. B
2017
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M. Pretko, “The Fracton Gauge Principle,” Phys. Rev. B
2018
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V. Lekeu, Aspects of electric-magnetic dualities in maximal supergravity · 2018
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A. Prem, M. Pretko, and R. Nandkishore, “Emergent Phases of Fractonic Matter,” Phys. Rev. B
2018
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H. Yan, “Hyperbolic fracton model, subsystem symmetry, and holography,” Phys. Rev. B
2019
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R. M. Nandkishore and M. Hermele, “Fractons,” Ann. Rev. Condensed Matter Phys
2019
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A. Gromov, “Towards classification of Fracton phases: the multipole algebra,” Phys. Rev. X
2019
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J. Figueroa-O’Farrill and S. Prohazka, “Spatially isotropic homogeneous spacetimes,” JHEP
2019
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K. Slagle, A. Prem, and M. Pretko, “Symmetric Tensor Gauge Theories on Curved Spaces,” Annals Phys
2019
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A. Gromov, “Chiral Topological Elasticity and Fracton Order,” Phys. Rev. Lett
2019
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R. Casalbuoni, J. Gomis, and D. Hidalgo, “Worldline description of fractons,” Phys. Rev. D
2021
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2021
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M. Henneaux and P. Salgado-Rebolledo, “Carroll contractions of Lorentz-invariant theories,” JHEP
2021
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A. Pérez, “Asymptotic symmetries in Carrollian theories of gravity,” JHEP
2021
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A. Jain and K. Jensen, “Fractons in curved space,” SciPost Phys
2022
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2022
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J. Figueroa-O’Farrill, R. Grassie, and S. Prohazka, 2022 · 2022
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