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...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2018
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| Online Access: | https://hdl.handle.net/10356/89480 http://hdl.handle.net/10220/44953 |
| _version_ | 1824454373752700928 |
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| author | Ananth, Sudarshan Brink, Lars Majumdar, Sucheta Mali, Mahendra Shah, Nabha |
| 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 |
| author_sort | Ananth, Sudarshan |
| collection | NTU |
| 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. |
| first_indexed | 2025-02-19T03:21:17Z |
| format | Journal Article |
| id | ntu-10356/89480 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:21:17Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | Classical Theories of Gravity Gauge Symmetry Ananth, Sudarshan Brink, Lars Majumdar, Sucheta Mali, Mahendra Shah, Nabha Gravitation and quadratic forms |
| title | Gravitation and quadratic forms |
| title_full | Gravitation and quadratic forms |
| title_fullStr | Gravitation and quadratic forms |
| title_full_unstemmed | Gravitation and quadratic forms |
| title_short | Gravitation and quadratic forms |
| title_sort | gravitation and quadratic forms |
| topic | Classical Theories of Gravity Gauge Symmetry |
| url | https://hdl.handle.net/10356/89480 http://hdl.handle.net/10220/44953 |
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