Non-relativistic limits and 3D massive gravity

Eric Bergshoeff; Jan Rosseel; Paul Townsend

doi:10.1088/1742-6596/1194/1/012013

Non-relativistic limits and 3D massive gravity

Eric Bergshoeff, Jan Rosseel, Paul Townsend

High-Energy Frontier

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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Abstract

The non-relativistic version of General Relativity, called Newton-Cartan gravity, has received renewed attention as a tool to explore (non-perturbative) properties of non-relativistic quantum field theories. The first part of this talk is a non-specialist introduction to Newton-Cartan geometry; in particular, it is shown how Newton-Cartan gravity arises as a special limit of General Relativity. The second part reviews a novel non-relativistic limit of the 3D massive spin-2 Fierz-Pauli theory to a spin-2 planar Schrodinger equation that has been proposed to describe the so-called GMP gapped spin-2 mode of fractional Quantum Hall states. The talk concludes with speculations on an extension of this non-relativistic limit to interacting massive 3D gravity theories.

Original language	English
Title of host publication	The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32)
Publisher	IoP Publishing
Number of pages	11
DOIs	https://doi.org/10.1088/1742-6596/1194/1/012013
Publication status	Published - 24-Apr-2019
Event	32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic Duration: 9-Jul-2018 → 13-Jul-2018

Publication series

Name	Journal of Physics: Conference Series
Publisher	IoP Publishing
Number	1
Volume	1194
ISSN (Print)	1742-6588

Conference

Conference	32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018
Country/Territory	Czech Republic
City	Prague
Period	09/07/2018 → 13/07/2018

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10.1088/1742-6596/1194/1/012013Licence: CC BY

Non-relativistic limits and 3D massive gravityFinal publisher's version, 418 KBLicence: CC BY

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title = "Non-relativistic limits and 3D massive gravity",

abstract = "The non-relativistic version of General Relativity, called Newton-Cartan gravity, has received renewed attention as a tool to explore (non-perturbative) properties of non-relativistic quantum field theories. The first part of this talk is a non-specialist introduction to Newton-Cartan geometry; in particular, it is shown how Newton-Cartan gravity arises as a special limit of General Relativity. The second part reviews a novel non-relativistic limit of the 3D massive spin-2 Fierz-Pauli theory to a spin-2 planar Schrodinger equation that has been proposed to describe the so-called GMP gapped spin-2 mode of fractional Quantum Hall states. The talk concludes with speculations on an extension of this non-relativistic limit to interacting massive 3D gravity theories.",

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Bergshoeff, E, Rosseel, J & Townsend, P 2019, Non-relativistic limits and 3D massive gravity. in The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32). Journal of Physics: Conference Series, no. 1, vol. 1194, IoP Publishing, 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018, Prague, Czech Republic, 09/07/2018. https://doi.org/10.1088/1742-6596/1194/1/012013

Non-relativistic limits and 3D massive gravity. / Bergshoeff, Eric; Rosseel, Jan; Townsend, Paul.
The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32). IoP Publishing, 2019. (Journal of Physics: Conference Series; Vol. 1194, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - The non-relativistic version of General Relativity, called Newton-Cartan gravity, has received renewed attention as a tool to explore (non-perturbative) properties of non-relativistic quantum field theories. The first part of this talk is a non-specialist introduction to Newton-Cartan geometry; in particular, it is shown how Newton-Cartan gravity arises as a special limit of General Relativity. The second part reviews a novel non-relativistic limit of the 3D massive spin-2 Fierz-Pauli theory to a spin-2 planar Schrodinger equation that has been proposed to describe the so-called GMP gapped spin-2 mode of fractional Quantum Hall states. The talk concludes with speculations on an extension of this non-relativistic limit to interacting massive 3D gravity theories.

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Non-relativistic limits and 3D massive gravity

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