The Ambient Metric (AM-178)

The Ambient Metric (AM-178)

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67.5 The Ambient Metric (AM-178)

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… (more)

Book Details  

Publisher: Princeton University Press (November 14, 2011)

Collection: Annals of Mathematics Studies

Format: EPUB

Page count: 128 pages

Protection: DRM

Language: English

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