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2013

Laplace operators on Sasaki-Einstein manifolds

Schmude, Johannes

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We decompose the de Rham Laplacian on Sasaki-Einstein manifolds as a sum over mostly positive definite terms.

An immediate consequence are lower bounds on its spectrum.
These bounds constitute a supergravity equivalent of the unitarity bounds in dual superconformal field theories.
The proof uses a generalization of Kahler identities to the Sasaki-Einstein case.

Laplace operators on Sasaki-Einstein manifolds · Around

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