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

共 50 条

[31] Fermions and D = 11 supergravity on squashed Sasaki-Einstein manifolds
Ibrahima Bah
Alberto Faraggi
Juan I. Jottar
Robert G. Leigh
Leopoldo A. Pando Zayas
[J]. Journal of High Energy Physics, 2011
[32] Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology
Gomez, Ralph R.
[J]. SYMMETRY-BASEL, 2019, 11 (07):
[33] Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds
Ibrahima Bah
Alberto Faraggi
Juan I. Jottar
Robert G. Leigh
[J]. Journal of High Energy Physics, 2011
[34] Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds
Bah, Ibrahima
Faraggi, Alberto
Jottar, Juan I.
Leigh, Robert G.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (01):
[35] Localisation on Sasaki-Einstein manifolds from holomorphic functions on the cone
Johannes Schmude
[J]. Journal of High Energy Physics, 2015
[36] Fermions and D=11 supergravity on squashed Sasaki-Einstein manifolds
Bah, Ibrahima
Faraggi, Alberto
Jottar, Juan I.
Leigh, Robert G.
Zayas, Leopoldo A. Pando
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (02):
[37] String Solutions in Sasaki-Einstein Manifolds and their marginally deformed versions
Giataganas, Dimitrios
[J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2011, 216 : 227 - 228
[38] Sasaki-Einstein 7-manifolds and Orlik's conjecture
Cuadros Valle, Jaime
Lope Vicente, Joe
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2024, 65 (01)
[39] Cascading RG flows from new Sasaki-Einstein manifolds
Herzog, CP
Ejaz, QJ
Klebanov, IR
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2005, (02): : 177 - 198
[40] Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals
Butti, Agostino
Forcella, Davide
Zaffaroni, Alberto
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (06):

← 1 2 3 4 5 →