Built on

J. Armas and A. Jain, Viscoelastic hydrodynamics and holography, 2019, [ arXiv:1908.01175 [hep-th] ]
Original
1908
Earlier work this paper cites.
R. E. Glover and M. Tinkham, Conductivity of superconducting films for photon energies between 0.3 and 40 k T c 40k{T}_{c} , Phys. Rev. 108
1957
Earlier work this paper cites.
J. Luttinger, Theory of thermal transport coefficients, Physical Review 135
1964
Earlier work this paper cites.
D. J. Bishop and J. D. Reppy, Study of the superfluid transition in two-dimensional He 4 {}^{4}\mathrm{He} films, Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
International Series In Pure and Applied Physics. McGraw-Hill, New York, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
Earlier work this paper cites.
E. Witten, Current Algebra, Baryons, and Quark Confinement, Nucl. Phys. B223
1983
Earlier work this paper cites.
C. M. Hull and B. J. Spence, The Geometry of the gauged sigma model with Wess-Zumino term, Nucl. Phys. B353
1991
Earlier work this paper cites.
E. Witten, On Holomorphic factorization of WZW and coset models, Commun. Math. Phys. 144
1992
Earlier work this paper cites.
Cambridge university press Cambridge, 2000
P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics , vol. 1 · 2000
Earlier work this paper cites.
D. T. Son, Hydrodynamics of relativistic systems with broken continuous symmetries, Int. J. Mod. Phys. A16S1C
2001
Earlier work this paper cites.
D. T. Son, Low-energy quantum effective action for relativistic superfluids, 2002, [ arXiv:hep-ph/0204199 [hep-ph] ]
2002
Earlier work this paper cites.
L. Fu, C. L. Kane and E. J. Mele, Topological insulators in three dimensions, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
D. T. Son and P. Surowka, Hydrodynamics with Triangle Anomalies, Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
D. E. Kharzeev and H. J. Warringa, Chiral Magnetic conductivity, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
C. P. Herzog, P. K. Kovtun and D. T. Son, Holographic model of superfluidity, Phys. Rev. D79
Original
2009
Earlier work this paper cites.
C. P. Herzog and A. Yarom, Sound modes in holographic superfluids, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
I. Amado, K. Landsteiner and F. Pena-Benitez, Anomalous transport coefficients from Kubo formulas in Holography, JHEP 05
Original
2011
Earlier work this paper cites.

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R. Loganayagam, Anomaly Induced Transport in Arbitrary Dimensions, 2011, [ arXiv:1106.0277 [hep-th] ]
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Then

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Later among the works it cites.
S. Grozdanov, D. M. Hofman and N. Iqbal, Generalized global symmetries and dissipative magnetohydrodynamics, Phys. Rev. D95
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Later among the works it cites.
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Later among the works it cites.
MIT press, 2018
S. A. Hartnoll, A. Lucas and S. Sachdev, Holographic quantum matter · 2018
Later among the works it cites.
L. V. Delacrétaz and S. A. Hartnoll, Theory of the supercyclotron resonance and hall response in anomalous two-dimensional metals, Phys. Rev. B 97

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2019

Superfluids as Higher-form Anomalies

Delacrétaz, Luca V., Hofman, Diego M., Mathys, Grégoire

Understand

We recast superfluid hydrodynamics as the hydrodynamic theory of a system with an emergent anomalous higher-form symmetry.

The higher-form charge counts the winding planes of the superfluid -- its constitutive relation replaces the Josephson relation of conventional superfluid hydrodynamics.
This formulation puts all hydrodynamic equations on equal footing.
The anomalous Ward identity can be used as an alternative starting point to prove the existence of a Goldstone boson, without reference to spontaneous symmetry breaking.

Built on

J. Armas and A. Jain, Viscoelastic hydrodynamics and holography, 2019, [ arXiv:1908.01175 [hep-th] ]
Original
1908
Earlier work this paper cites.
R. E. Glover and M. Tinkham, Conductivity of superconducting films for photon energies between 0.3 and 40 k T c 40k{T}_{c} , Phys. Rev. 108
1957
Earlier work this paper cites.
J. Luttinger, Theory of thermal transport coefficients, Physical Review 135
1964
Earlier work this paper cites.
D. J. Bishop and J. D. Reppy, Study of the superfluid transition in two-dimensional He 4 {}^{4}\mathrm{He} films, Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
International Series In Pure and Applied Physics. McGraw-Hill, New York, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
Earlier work this paper cites.
E. Witten, Current Algebra, Baryons, and Quark Confinement, Nucl. Phys. B223
1983
Earlier work this paper cites.
C. M. Hull and B. J. Spence, The Geometry of the gauged sigma model with Wess-Zumino term, Nucl. Phys. B353
1991
Earlier work this paper cites.
E. Witten, On Holomorphic factorization of WZW and coset models, Commun. Math. Phys. 144
1992
Earlier work this paper cites.
Cambridge university press Cambridge, 2000
P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics , vol. 1 · 2000
Earlier work this paper cites.
D. T. Son, Hydrodynamics of relativistic systems with broken continuous symmetries, Int. J. Mod. Phys. A16S1C
2001
Earlier work this paper cites.
D. T. Son, Low-energy quantum effective action for relativistic superfluids, 2002, [ arXiv:hep-ph/0204199 [hep-ph] ]
2002
Earlier work this paper cites.
L. Fu, C. L. Kane and E. J. Mele, Topological insulators in three dimensions, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
D. T. Son and P. Surowka, Hydrodynamics with Triangle Anomalies, Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
D. E. Kharzeev and H. J. Warringa, Chiral Magnetic conductivity, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
C. P. Herzog, P. K. Kovtun and D. T. Son, Holographic model of superfluidity, Phys. Rev. D79
Original
2009
Earlier work this paper cites.
C. P. Herzog and A. Yarom, Sound modes in holographic superfluids, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
I. Amado, K. Landsteiner and F. Pena-Benitez, Anomalous transport coefficients from Kubo formulas in Holography, JHEP 05
Original
2011
Earlier work this paper cites.

Similar

R. Loganayagam, Anomaly Induced Transport in Arbitrary Dimensions, 2011, [ arXiv:1106.0277 [hep-th] ]
Original
2011
Cited alongside, same era.
X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83
2011
Cited alongside, same era.
J. Bhattacharya, S. Bhattacharyya and S. Minwalla, Dissipative Superfluid dynamics from gravity, JHEP 04
Original
2011
Cited alongside, same era.
C. P. Herzog, N. Lisker, P. Surowka and A. Yarom, Transport in holographic superfluids, JHEP 08
Original
2011
Cited alongside, same era.
K. Jensen, Triangle Anomalies, Thermodynamics, and Hydrodynamics, Phys. Rev. D85
Original
2012

Then

R. A. Davison, L. V. Delacrétaz, B. Goutéraux and S. A. Hartnoll, Hydrodynamic theory of quantum fluctuating superconductivity, Phys. Rev. B94
Original
2016
Later among the works it cites.
S. Grozdanov, D. M. Hofman and N. Iqbal, Generalized global symmetries and dissipative magnetohydrodynamics, Phys. Rev. D95
Original
2017
Later among the works it cites.
S. Grozdanov and N. Poovuttikul, Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography, Phys. Rev. D97
Original
2018
Later among the works it cites.
MIT press, 2018
S. A. Hartnoll, A. Lucas and S. Sachdev, Holographic quantum matter · 2018
Later among the works it cites.
L. V. Delacrétaz and S. A. Hartnoll, Theory of the supercyclotron resonance and hall response in anomalous two-dimensional metals, Phys. Rev. B 97

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, J. Phys. A45

Original

2012

Cited alongside, same era.

Cambridge University Press, 2013

S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications · 2013

Cited alongside, same era.

A. Nicolis, R. Penco, F. Piazza and R. A. Rosen, More on gapped Goldstones at finite density: More gapped Goldstones, JHEP 11

Original

2013

Cited alongside, same era.

M. G. Alford, S. K. Mallavarapu, A. Schmitt and S. Stetina, From a complex scalar field to the two-fluid picture of superfluidity, Phys. Rev. D 87

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Cited alongside, same era.

K. Jensen, R. Loganayagam and A. Yarom, Anomaly inflow and thermal equilibrium, JHEP 05

Original

2014

Cited alongside, same era.

F. M. Haehl, R. Loganayagam and M. Rangamani, Effective actions for anomalous hydrodynamics, JHEP 03

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2014

Cited alongside, same era.

J. Bhattacharya, S. Bhattacharyya, S. Minwalla and A. Yarom, A Theory of first order dissipative superfluid dynamics, JHEP 05

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Cited alongside, same era.

2018