Acta mathematica scientia, Series B >
A SOLUTION OF YANG-MILLS EQUATION ON BDS SPACE
Received date: 2006-12-30
Online published: 2009-03-20
Supported by
The project partially supported by NKBRPC(2004CB31800, 2006CB805905) and NSFC(10375087)
In [6], a global solution of Yang-Mills equation on de-Sitter spacetime with conformal flat metric was given by Prof. Lu. In this article, Yang-Mills equation on n-dimensional de-Sitter space with Beltrami-Hua-Lu metric is discussed and a global solution is obtained.
Key words： BHL metric; Yang-Mills equation; spin connection
Ren Xin’an . A SOLUTION OF YANG-MILLS EQUATION ON BDS SPACE[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 447 -455 . DOI: 10.1016/S0252-9602(09)60044-8
[1] Dirac P A M. The electron wave equation in de-Sitter space. Ann Math, 1935, 36: 657–609
[2] Guo H Y, Huang C G, Xu Z, Zhou B. On Beltrami model of de Sitter spacetime. hep-th/0311156
[3] Lawson H B, Michelsohn M. Spin geometry. Princeton University Press, 1989
[4] Look K H, Tsou C L, Kuo H Y. The kinematic effects in the classical domains and the red-shift phenomena
of extra-galactic objects. Acta Physica Sinica, 1974, 23: 225–238
[5] Lu Q K. Differential geometry and its application to physics. Beijing: Science Press, 1982
[6] Lu Q K. Dirac’s conformal spaces and de-Sitter spaces. In: Memoroy of the 100th Anniversary of Einstein’s
Special Relativity and the 70th Anniversary of Dirac’s de-Sitter Spaces and their boundaries. Beijing:
Morningside Center, 2005
[7] Maldacena J. The large N superconformal field theory and and supergravity. Adv Theor Math Phys, 1998,
2: 231–253
[8] Petersen J L. Introduction to the Maldacena conjecture on AdS/CFT. NBI-HE-99-05
[9] Tegmark M, et all. Arxiv:astro/0310723
[10] Witten E. Anti-de-Sitter space and holography. Adv Theor Math Phys, 1998 2: 253–291
[11] Witten E, Yau S T. Connectedness of the boundary in the AdS/CFT correspondence. hep-th/9910245
/
| 〈 |
|
〉 |