scholarly journals Scalar field spacetimes and the anti–de Sitter space/conformal-field theory conjecture

2001 ◽  
Vol 64 (6) ◽  
Author(s):  
Saurya Das ◽  
J. Gegenberg ◽  
V. Husain
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Scalar Field ◽  
De Sitter Space ◽  
De Sitter ◽  
Conformal Field

scholarly journals ANTI-DE-SITTER SPACE, BRANES, SINGLETONS, SUPERCONFORMAL FIELD THEORIES AND ALL THAT

1999 ◽  
Vol 14 (06) ◽  
pp. 815-843 ◽  
Author(s):  
M. J. DUFF
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Historical Review ◽  
De Sitter Space ◽  
Field Theories ◽  
De Sitter ◽  
Superconformal Field Theories ◽  
Conformal Field ◽  
New Approaches ◽  
The Universe

There has recently been a revival of interest in anti-de-Sitter space (AdS), brought about by the conjectured duality between physics in the bulk of AdS and a conformal field theory on the boundary. Since the whole subject of branes, singletons and superconformal field theories on the AdS boundary was an active area of research about ten years ago, we begin with a historical review, including the idea of the "membrane at the end of the universe." We then compare the old and new approaches and discuss some new results on AdS 5 × S5 and AdS 3 × S3.

3D SINGLETONS AND THEIR BOUNDARY 2D CONFORMAL FIELD THEORY

1999 ◽  
Vol 11 (09) ◽  
pp. 1079-1090 ◽  
Author(s):  
SÉBASTIEN MICHÉA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Recent Work ◽  
De Sitter Space ◽  
Field Theories ◽  
Conformal Field Theories ◽  
De Sitter ◽  
Witt Algebra ◽  
Conformal Field ◽  
De Sitter Universe

This paper is a continuation of recent work of Flato and Frønsdal on singletons in 1+2 anti De Sitter universe and their link with 2D conformal field theories on the boundary. More specifically we show that in this framework we can construct a 3D-singleton model in the bulk, the limit of which on the boundary of De Sitter space is a Gupta–Bleuler triplet for two commuting copies of the Witt algebra. We also generalize this result to the case of WZNW models.

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