Gravitation and quadratic forms

The light-cone Hamiltonians describing both pure ( N = 0) Yang-Mills and N = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N = 8 supergravity, in four dimens...

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Main Authors: Ananth, Sudarshan, Brink, Lars, Majumdar, Sucheta, Mali, Mahendra, Shah, Nabha
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/89480
http://hdl.handle.net/10220/44953
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-894802023-02-28T19:36:31Z Gravitation and quadratic forms Ananth, Sudarshan Brink, Lars Majumdar, Sucheta Mali, Mahendra Shah, Nabha School of Physical and Mathematical Sciences Institute of Advanced Studies Classical Theories of Gravity Gauge Symmetry The light-cone Hamiltonians describing both pure ( N = 0) Yang-Mills and N = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N = 8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form. Published version 2018-06-04T08:37:35Z 2019-12-06T17:26:39Z 2018-06-04T08:37:35Z 2019-12-06T17:26:39Z 2017 Journal Article Ananth, S., Brink, L., Majumdar, S., Mali, M., & Shah, N. (2017). Gravitation and quadratic forms. Journal of High Energy Physics, 2017(3), 169-. 1126-6708 https://hdl.handle.net/10356/89480 http://hdl.handle.net/10220/44953 10.1007/JHEP03(2017)169 en Journal of High Energy Physics © 2017 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. 17 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 Classical Theories of Gravity
Gauge Symmetry
spellingShingle Classical Theories of Gravity
Gauge Symmetry
Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
Mali, Mahendra
Shah, Nabha
Gravitation and quadratic forms
description The light-cone Hamiltonians describing both pure ( N = 0) Yang-Mills and N = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N = 8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
Mali, Mahendra
Shah, Nabha
format Article
author Ananth, Sudarshan
Brink, Lars
Majumdar, Sucheta
Mali, Mahendra
Shah, Nabha
author_sort Ananth, Sudarshan
title Gravitation and quadratic forms
title_short Gravitation and quadratic forms
title_full Gravitation and quadratic forms
title_fullStr Gravitation and quadratic forms
title_full_unstemmed Gravitation and quadratic forms
title_sort gravitation and quadratic forms
publishDate 2018
url https://hdl.handle.net/10356/89480
http://hdl.handle.net/10220/44953
_version_ 1759857852213624832