y***@fas.harvard.edu

2006-05-05 20:14:26 UTC

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Why is Sasaki-Einstein manifold named so?Raw Message

Did Sasaki and Einstein come out with this idea?

I am just curious.

Discussion:

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y***@fas.harvard.edu

2006-05-05 20:14:26 UTC

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Why is Sasaki-Einstein manifold named so?Raw Message

Did Sasaki and Einstein come out with this idea?

I am just curious.

Aaron Bergman

2006-05-20 01:19:09 UTC

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Raw Message

Why is Sasaki-Einstein manifold named so?

Did Sasaki and Einstein come out with this idea?

I am just curious.

an Einstein manifold. A Sasaki-Einstein manifold is one that is both.

Sasaki is, in a sense, an odd dimensional version of a Kaehler manifold.

An Einstein manifold is a solution to the Einstein field equations with

a cosmological constant. In other words, the Ricci tensor is

proportional to the metric.

The string theory relevance here is that the base of a Ricci flat cone

is Einstein and the base of a Kaehler cone is Sasaki. Thus, the base of

a Calabi-Yau cone is Sasaki-Einstein.

Aaron

Igor

2006-05-20 01:19:26 UTC

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Raw Message

Why is Sasaki-Einstein manifold named so?

Did Sasaki and Einstein come out with this idea?

I am just curious.

Einstein manifold usually relates to vacuum solutions to the GR

equations with a non-zero cosmological constant. The name seems to be

used more often in pure math literature rather than physics.

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