Conformal field theories in anti-de Sitter space

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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Anti–de Sitter Space from Optimization of Path Integrals in Conformal Field Theories

Physical Review Letters ◽

10.1103/physrevlett.119.071602 ◽

2017 ◽

Vol 119 (7) ◽

Cited By ~ 74

Author(s):

Pawel Caputa ◽

Nilay Kundu ◽

Masamichi Miyaji ◽

Tadashi Takayanagi ◽

Kento Watanabe

Keyword(s):

Path Integrals ◽

De Sitter Space ◽

Field Theories ◽

Conformal Field Theories ◽

De Sitter ◽

Conformal Field

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PROBING UNIVERSALITY IN AdS/CFT

International Journal of Modern Physics A ◽

10.1142/s0217751x10048731 ◽

2010 ◽

Vol 25 (02n03) ◽

pp. 433-443 ◽

Cited By ~ 1

Author(s):

A. RITZ

Keyword(s):

Transport Coefficients ◽

De Sitter Space ◽

Field Theories ◽

Conformal Field Theories ◽

De Sitter ◽

Thermodynamic State ◽

Conformal Field ◽

Large N ◽

Conserved Currents ◽

State Functions

We discuss some universal relations that hold for conformal field theories which admit a dual classical gravitational description in anti-de Sitter space. These relations therefore apply in a suitable large N limit, and imply that various hydrodynamic transport coefficients for conserved currents and thermodynamic state functions are entirely fixed by central charges.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x99000403 ◽

1999 ◽

Vol 14 (06) ◽

pp. 815-843 ◽

Cited By ~ 15

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.

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WE PROBABLY LIVE ON AN INFLATING BRANE-WORLD

International Journal of Modern Physics D ◽

10.1142/s0218271811020627 ◽

2011 ◽

Vol 20 (14) ◽

pp. 2809-2816

Author(s):

ISHWAREE P. NEUPANE

Keyword(s):

Zero Mode ◽

De Sitter Space ◽

Brane World ◽

Conformal Field Theories ◽

De Sitter ◽

Conformal Field ◽

Sitter Spacetime ◽

Acceleration Of The Universe ◽

De Sitter Universe ◽

The Universe

Brane-world models, where observers are trapped within the thickness of a 3-brane, offer novel perspectives on gravitation and cosmology. In this essay, it is argued that the problem of a late epoch acceleration of the universe is well explained in the framework of a 4-dimensional de Sitter universe embedded in a 5-dimensional de Sitter spacetime. While a 5-dimensional Anti-de Sitter space background is important for studying conformal field theories for its role in the AdS/CFT correspondence, the existence of a 5-dimensional de Sitter space is crucial for finding an effective 4-dimensional Newton constant that remains finite and a normalizable zero-mode graviton wave function.

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