Laplace operators on Sasaki-Einstein manifolds
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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 generalisation of Kähler identities to the Sasaki-Einstein case.
KeywordsDifferential and Algebraic Geometry AdS-CFT Correspondence
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