Laplace operators on Sasaki-Einstein manifolds

被引：0

作者：

Johannes Schmude

机构：

[1] Universidad de Oviedo,Department of Physics

[2] RIKEN Nishina Center,undefined

来源：

Journal of High Energy Physics | / 2014卷

关键词：

Differential and Algebraic Geometry; AdS-CFT Correspondence;

D O I：

暂无

中图分类号：

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 Kähler identities to the Sasaki-Einstein case.

引用

共 50 条

[1] Laplace operators on Sasaki-Einstein manifolds
Schmude, Johannes
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (04):
[2] TRANSVERSE KAHLER GEOMETRY OF SASAKI MANIFOLDS AND TORIC SASAKI-EINSTEIN MANIFOLDS
Futaki, Akito
Ono, Hajime
Wang, Guofang
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 2009, 83 (03) : 585 - 635
[3] On Sasaki-Einstein manifolds in dimension five
Charles P. Boyer
Michael Nakamaye
[J]. Geometriae Dedicata, 2010, 144 : 141 - 156
[4] NEW EXAMPLES OF SASAKI-EINSTEIN MANIFOLDS
Mabuchi, Toshiki
Nakagawa, Yasuhiro
[J]. TOHOKU MATHEMATICAL JOURNAL, 2013, 65 (02) : 243 - 252
[5] On the topology of some Sasaki-Einstein manifolds
Boyer, Charles P.
Tonnesen-Friedman, Christina W.
[J]. NEW YORK JOURNAL OF MATHEMATICS, 2015, 21 : 57 - 72
[6] Sasaki-Einstein manifolds and their spinorial geometry
Kim, NW
[J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2006, 48 (02) : 197 - 201
[7] On Sasaki-Einstein manifolds in dimension five
Boyer, Charles P.
Nakamaye, Michael
[J]. GEOMETRIAE DEDICATA, 2010, 144 (01) : 141 - 156
[8] Sasaki-einstein manifolds and volume minimisation
Martelli, Dario
Sparks, James
Yau, Shing-Tung
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 280 (03) : 611 - 673
[9] Some Examples of Toric Sasaki-Einstein Manifolds
van Coevering, Craig
[J]. RIEMANNIAN TOPOLOGY AND GEOMETRIC STRUCTURES ON MANIFOLDS, 2009, 271 : 185 - 232
[10] A New Infinite Class of Sasaki-Einstein Manifolds
Gauntlett, Jerome P.
Martelli, Dario
Sparks, James
Waldram, Daniel
[J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 8 (06) : 987 - 1000

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