The ambient metric

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the con...

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Detalles Bibliográficos
Autores principales: Fefferman, Charles, Graham, C Robin
Lenguaje:eng
Publicado: Princeton University Press 2012
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1416895
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author Fefferman, Charles
Graham, C Robin
author_facet Fefferman, Charles
Graham, C Robin
author_sort Fefferman, Charles
collection CERN
description This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambien
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2012
publisher Princeton University Press
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spelling cern-14168952021-04-22T00:38:54Zhttp://cds.cern.ch/record/1416895engFefferman, CharlesGraham, C RobinThe ambient metricMathematical Physics and MathematicsThis book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambienPrinceton University Pressoai:cds.cern.ch:14168952012
spellingShingle Mathematical Physics and Mathematics
Fefferman, Charles
Graham, C Robin
The ambient metric
title The ambient metric
title_full The ambient metric
title_fullStr The ambient metric
title_full_unstemmed The ambient metric
title_short The ambient metric
title_sort ambient metric
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1416895
work_keys_str_mv AT feffermancharles theambientmetric
AT grahamcrobin theambientmetric
AT feffermancharles ambientmetric
AT grahamcrobin ambientmetric

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