Gravitation and quadratic forms

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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Bibliographic Details
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:
Classical Theories of Gravity
Gauge Symmetry
Online Access:https://hdl.handle.net/10356/89480
http://hdl.handle.net/10220/44953
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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