Covariant effective action for a Galilean invariant quantum Hall system

Geracie, Michael; Prabhu, Kartik; Roberts, Matthew M.

doi:10.1007/JHEP09(2016)092

Covariant effective action for a Galilean invariant quantum Hall system

Journal Article · Fri Sep 16 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP09(2016)092· OSTI ID:1395559

Geracie, Michael ^[1]; Prabhu, Kartik ^[2]; Roberts, Matthew M. ^[2]

Univ. of Chicago, Chicago, IL (United States); Univ. of Chicago, Chicago, IL (United States)
Univ. of Chicago, Chicago, IL (United States)

Here, we construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of curved Galilean spacetimes, including torsion and a gravitational field, allowing us to study charge, energy, stress and mass currents within a unified framework. A shift symmetry specific to single constituent theories constraints the effective action to couple to an effective background gauge field and spin connection that is solved for by a self-consistent equation, providing a manifestly covariant extension of Hoyos and Son’s improvement terms to arbitrary order in m.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, Chicago, IL (United States), Enrico Fermi Inst. and Dept. of Physics

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009924

OSTI ID:: 1395559

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (3)

Covariant Poisson’s equation in torsional Newton-Cartan gravity Abedini, Mohammad; Afshar, Hamid R.; Ghodsi, Ahmad Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)117	journal	April 2019
Homogeneous nonrelativistic geometries as coset spaces Grosvenor, Kevin T.; Hartong, Jelle; Keeler, Cynthia Classical and Quantum Gravity, Vol. 35, Issue 17 https://doi.org/10.1088/1361-6382/aad0f9	journal	July 2018
Covariant Poisson's equation in torsional Newton-Cartan gravity Abedini, Mohammad; Afshar, Hamid R.; Ghodsi, Ahmad arXiv https://doi.org/10.48550/arxiv.1903.04206	text	January 2019

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