Laplace operators on Sasaki-Einstein manifolds

被引：5

作者：

Schmude, Johannes ^{[1
,2
]}

机构：

[1] Univ Oviedo, Dept Phys, Oviedo 33007, Spain

[2] RIKEN Nishina Ctr, Wako, Saitama 3510198, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 04期

关键词：

Differential and Algebraic Geometry; AdS-CFT Correspondence; COMPLEX PLATEAU-PROBLEM; KOHN-ROSSI COHOMOLOGY;

D O I：

10.1007/JHEP04(2014)008

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 Kahler identities to the Sasaki-Einstein case.

引用

页数：11

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