Laplace operators on Sasaki-Einstein manifolds

Abstract

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.

6 pages

References in corpus (2)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• On perturbative instability of Pope-Warner solutions on Sasaki-Einstein manifolds

Cited by in corpus (6)

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• From $\beta$ to $\eta$: a new cohomology for deformed Sasaki-Einstein manifolds
• Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds
• Gauged supergravities from M-theory reductions