Laplace operators on Sasaki-Einstein manifolds
High Energy Physics - Theory
2015-06-16 v1 Differential Geometry
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.
Cite
@article{arxiv.1308.1027,
title = {Laplace operators on Sasaki-Einstein manifolds},
author = {Johannes Schmude},
journal= {arXiv preprint arXiv:1308.1027},
year = {2015}
}
Comments
6 pages