Space-Dependent Symmetries and Fractons

Hoyos, Carlos; Peña-Benítez, Francisco; Surówka, Piotr

doi:10.3389/fphy.2021.792621

Cited by 45 publications

(31 citation statements)

References 82 publications

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“…The first set of asymptotic conditions, provided in Section IV.1.1 leads to the expected finite-dimensional fracton algebra (12). The second set of asymptotic conditions, see Section IV.2.1, provides an infinite-dimensional "soft" extension of the dipole charges, c.f., (16). In both cases a careful analysis of the boundary terms was of fundamental importance in order to obtain a finite energy and a well-defined action principle.…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…Their unusual properties might be useful in the construction of quantum information storage [2,[5][6][7] and provide insights to a wide variety of physical fields, such as quantum field theory [8,9] (and followup works), general relativity [10,11], elasticity [12], and even holography [13]. We refer to the reviews [14][15][16] for further applications, details, and references. * aperez@cecs.cl † stefan.prohazka@ed.uk.ac…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic symmetries and soft charges of fractons

Pérez¹,

Prohazka²

2022

Preprint

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The asymptotic structure of gauge theories describing fracton interactions is analyzed. Two sets of asymptotic conditions are proposed. Both encompass all known solutions, lead to finite charges and resolve the problem of the divergent energy coming from the monopole contribution. While the first set leads to the expected fracton symmetry algebra, including a dipole charge, the second set provides a soft infinite-dimensional extension of it. These soft charges provide evidence of a rich infrared structure for fracton-like theories and provide one corner of a possible fracton infrared triangle.

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Section: Discussion and Outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic symmetries and soft charges of fractons

Pérez¹,

Prohazka²

2022

Preprint

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“…21 Much as we saw for superfluids, the two-point function between the operators J and K will be completely fixed by these equations. Then, upon performing a Källén-Lehmann decomposition, we will 20 These equations are valid for d > 4. For d = 4 there is additionally an interesting anomaly in the trace condition for J, which we discuss further in the following.…”

Section: The Graviton As a Goldstonementioning

confidence: 99%

“…There has been a substantial amount of recent work related to the physics of fractons and their relation to these general ideas. More details can be found for example in[17][18][19][20][21][22][23][24] and references therein.…”

mentioning

confidence: 99%

Gravity as a gapless phase and biform symmetries

Hinterbichler¹,

Hofman²,

Joyce³

et al. 2022

Preprint

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We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these theories also have a topological (magnetic) biform current, its conservation law is anomalous. We go on to show that this mixed anomaly uniquely fixes the two-point function between the electric and magnetic currents. We then perform a Källén-Lehmann spectral decomposition of the current-current correlator, proving that there is a massless mode in the spectrum, whose masslessness is protected by the anomaly. Furthermore, the anomaly gives rise to a universal form of the EFT whose most relevant term-which resembles the linear Einstein action-dominates the infrared physics. As applications of this general formalism, we study the theories of a Galileon superfluid and linearized gravity. Thus, one can view the masslessness of the graviton as being protected by the anomalous biform symmetries. The associated EFT provides an organizing principle for gravity at low energies in terms of physical symmetries, and allows interactions consistent with linearized diffeomorphism invariance. These theories are not ultraviolet-complete-the relevant symmetries can be viewed as emergent-nor do they include the nonlinearities necessary to make them fully diffeomorphism invariant, so there is no contradiction with the expectation that quantum gravity cannot have any global symmetries.

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“…Models with such excitations fall into two distinct categories: gapless and gapped. Gapless excitations appear in higher-rank gauge theories that emerge in the description of spin-liquids [1][2][3][4][5], dipole-conserving lattice models [6][7][8][9][10][11], elasticity [12][13][14][15][16][17][18][19][20][21] and hydrodynamics [22][23][24]. In the gapless theories fractons can be understood as charges that act as sources to the gauge fields and can be interpreted as topological defects.…”

Section: Introductionmentioning

confidence: 99%

Bose-Hubbard realization of fracton defects

Giergiel,

Lier,

Surówka

et al. 2021

Preprint

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Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the symmetries and low-energy properties of the Hamiltonian we argue that the model hosts fractonic defect excitations. We back up our claims with exact numerical simulations of defect dynamics exhibiting mobility constraints. Moreover, we confirm the robustness of our results against fracton symmetry breaking perturbations. Finally we argue that this model can be experimentally realized in recently proposed quantum simulator platforms with big time crystals, thus paving a way for the controlled study of many-body dynamics with mobility constraints.

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Space-Dependent Symmetries and Fractons

Cited by 45 publications

References 82 publications

Asymptotic symmetries and soft charges of fractons

Asymptotic symmetries and soft charges of fractons

Gravity as a gapless phase and biform symmetries

Bose-Hubbard realization of fracton defects

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