Hall motions in Carroll dynamics

Marsot, L.; Zhang, P.-M.; Chernodub, M.; Horvathy, P.A.

doi:10.1016/j.physrep.2023.07.007

Cited by 26 publications

(21 citation statements)

References 131 publications

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“…We are able to treat carrollions and fractons simultaneously for the most part since free complex Carroll and fracton scalar theories and their symmetries essentially 3 coincide [9] (see also [10]). This led us in Part I to propose a correspondence, summarised in table 1, between all elementary carrollions and fractons, which we show in this work to persist at the quantum level.…”

Section: Jhep10(2023)041mentioning

confidence: 99%

Quantum Carroll/fracton particles

Figueroa-O’Farrill,

Pérez,

Prohazka

2023

J. High Energ. Phys.

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We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a correspondence between them. Whenever possible, we express the UIRs in terms of fields on Carroll/Aristotle spacetime subject to their free field equations.We emphasise that free massive (or “electric”) Carroll and fracton quantum field theories are ultralocal field theories and highlight their peculiar and puzzling thermodynamic features. We also comment on subtle differences between massless and “magnetic” Carroll field theories and discuss the importance of Carroll and fractons symmetries for flat space holography.

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Section: Jhep10(2023)041mentioning

confidence: 99%

Quantum Carroll/fracton particles

Figueroa-O’Farrill,

Pérez,

Prohazka

2023

J. High Energ. Phys.

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“…Fracton gravity Following the relation between Carroll and particles with conserved charge and dipole momentum ("fractons") [10][11][12][13] we write down fracton BF gravity. The The action of fracton BF gravity is given by I[X I , A I ] = k 2π M L where L = X H dA H + X P dA P + X Q (dA Q + A D ∧ A P ) + X D dA D .…”

Section: Galilean Black Holesmentioning

confidence: 99%

“…Indeed, Carroll symmetries emerge naturally on null surfaces and therefore find their place at null infinity [4], at black hole horizons [5][6][7], but also at spatial [8] and time-like infinity [9] in the extreme situation that one direction decouples. Due to its restricted mobility, Carrollian physics shares features with fractons [10][11][12][13] (more precisely, particles with conserved electric charge and dipole moment) and is relevant in models with so-called "spacetime subsymmetries" [14,15] (see also [16,17]). Another condensed matter application of Carroll symmetries is flat bands [18] (the Fourier-transformed statement of collapsed lightcones).…”

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confidence: 99%

Carroll black holes

Ecker,

Grumiller,

Hartong

et al. 2023

SciPost Phys.

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Despite the absence of a lightcone structure, some solutions of Carroll gravity show black hole-like behaviour. We define Carroll black holes as solutions of Carroll gravity that exhibit Carroll thermal properties and have a Carroll extremal surface, notions introduced in our work. The latter is a Carroll analogue of a Lorentzian extremal surface. As examples, we discuss the Carroll versions of Schwarzschild, Reissner-Nordström, and BTZ black holes and black hole solutions of generic 1+1 dimensional Carroll dilaton gravity, including Carroll JT and Carroll Witten black holes.

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“…It has been known that apart from as yet hypothetical fracton phases of matter, a dipole-type conservation law also restricts the mobility of skyrmions in ferromagnets [5] and vortices in superfluids [6]. A similar mobility constraint also appears in relativistic physics when so-called Carrollian symmetry is present [7].…”

Section: Introductionmentioning

confidence: 99%

Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum

Brauner,

Yamamoto,

Yokokura

2024

SciPost Phys.

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We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field configurations with a finite nonzero charge. Furthermore, when the symplectic form is closed but not exact, the system may, surprisingly, lack a well-defined momentum density. This leads to a theorem for the presence of additional light modes in the system whenever the short-distance physics is governed by a translationally invariant local field theory. We also illustrate this mechanism for axion electrodynamics as an example of a system with Nambu-Goldstone modes of higher-form symmetries.

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Hall motions in Carroll dynamics

Cited by 26 publications

References 131 publications

Quantum Carroll/fracton particles

Quantum Carroll/fracton particles

Carroll black holes

Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum

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