A hidden symmetry in quantum gravity

The action integral contains more information than the equations of motion. Since it is an integral, changes of the integration variables occasionally also expose symmetries more easily than working directly with the equations of motion. We have previously shown that there are signs of an extended e...

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Main Authors: Ananth, Sudarshan, Brink, Lars, Majumdar, Sucheta
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/89173
http://hdl.handle.net/10220/47051
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-891732023-02-28T19:35:39Z A hidden symmetry in quantum gravity Ananth, Sudarshan Brink, Lars Majumdar, Sucheta School of Physical and Mathematical Sciences DRNTU::Science::Physics Classical Theories of Gravity Space-Time Symmetries The action integral contains more information than the equations of motion. Since it is an integral, changes of the integration variables occasionally also expose symmetries more easily than working directly with the equations of motion. We have previously shown that there are signs of an extended exceptional symmetry for N=8 supergravity in four dimensions. The symmetry is such that the fields used in the Lagrangian are not representations of the symmetry. Instead one has to add representations to obtain a representation of the extended symmetry group. In this paper we discuss an extended symmetry in four-dimensional gravity which is the “Ehlers Symmetry” in three dimensions. It cannot be spanned by the helicity states of four-dimensional gravity but it can be realised once we treat the helicity states just as field variables of the functional integral, which can be changed like variables in any integral. We also explain how this symmetry is inherent in formulations of N=8 supergravity in four dimensions through a truncation in the field space to pure gravity. The establishment of these “hidden” symmetries should play an important role in the perturbative behaviour of the quantum theories. Since the method used n this paper is purely algebraic we will not provide any information on the geometric role of these symmetries. Published version 2018-12-18T05:56:45Z 2019-12-06T17:19:29Z 2018-12-18T05:56:45Z 2019-12-06T17:19:29Z 2018 Journal Article Ananth, S., Brink, L., & Majumdar, S. (2018). A hidden symmetry in quantum gravity. Journal of High Energy Physics, 2018(11), 78-. doi: 10.1007/JHEP11(2018)078 1126-6708 https://hdl.handle.net/10356/89173 http://hdl.handle.net/10220/47051 10.1007/JHEP11(2018)078 en Journal of High Energy Physics © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
Classical Theories of Gravity
Space-Time Symmetries
spellingShingle DRNTU::Science::Physics
Classical Theories of Gravity
Space-Time Symmetries
Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
A hidden symmetry in quantum gravity
description The action integral contains more information than the equations of motion. Since it is an integral, changes of the integration variables occasionally also expose symmetries more easily than working directly with the equations of motion. We have previously shown that there are signs of an extended exceptional symmetry for N=8 supergravity in four dimensions. The symmetry is such that the fields used in the Lagrangian are not representations of the symmetry. Instead one has to add representations to obtain a representation of the extended symmetry group. In this paper we discuss an extended symmetry in four-dimensional gravity which is the “Ehlers Symmetry” in three dimensions. It cannot be spanned by the helicity states of four-dimensional gravity but it can be realised once we treat the helicity states just as field variables of the functional integral, which can be changed like variables in any integral. We also explain how this symmetry is inherent in formulations of N=8 supergravity in four dimensions through a truncation in the field space to pure gravity. The establishment of these “hidden” symmetries should play an important role in the perturbative behaviour of the quantum theories. Since the method used n this paper is purely algebraic we will not provide any information on the geometric role of these symmetries.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
format Article
author Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
author_sort Ananth, Sudarshan
title A hidden symmetry in quantum gravity
title_short A hidden symmetry in quantum gravity
title_full A hidden symmetry in quantum gravity
title_fullStr A hidden symmetry in quantum gravity
title_full_unstemmed A hidden symmetry in quantum gravity
title_sort hidden symmetry in quantum gravity
publishDate 2018
url https://hdl.handle.net/10356/89173
http://hdl.handle.net/10220/47051
_version_ 1759854002189631488