scholarly journals PROBING UNIVERSALITY IN AdS/CFT

2010 ◽  
Vol 25 (02n03) ◽  
pp. 433-443 ◽  
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.

scholarly journals Conformal field theories in anti-de Sitter space

2011 ◽  
Vol 2011 (2) ◽  
Author(s):  
Ofer Aharony ◽  
Donald Marolf ◽  
Mukund Rangamani
Keyword(s):  
De Sitter Space ◽  
Field Theories ◽  
Conformal Field Theories ◽  
De Sitter ◽  
Conformal Field

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.

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

2017 ◽  
Vol 119 (7) ◽  
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

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.

scholarly journals ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES

2001 ◽  
Vol 16 (16) ◽  
pp. 2747-2769 ◽  
Author(s):  
EDWARD WITTEN
Keyword(s):  
Gauge Theories ◽  
De Sitter Space ◽  
Spontaneous Breaking ◽  
De Sitter ◽  
Four Dimensions ◽  
Yang Mills ◽  
Conformal Field ◽  
Classical Geometry ◽  
Large N ◽  
Quantum Phenomena

The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of [Formula: see text] super-Yang–Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in anti-de Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale "holographically" with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry.

scholarly journals WE PROBABLY LIVE ON AN INFLATING BRANE-WORLD

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.

De Sitter and conformal field theories

1982 ◽  
Vol 32 (4) ◽  
pp. 439-471 ◽  
Author(s):  
B. Binegar ◽  
C. Fronsdal ◽  
M. Flato ◽  
S. Salamó
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
De Sitter ◽  
Conformal Field

scholarly journals Large N limit of Calogero–Moser models and conformal field theories

2001 ◽  
Vol 503 (1-2) ◽  
pp. 205-208 ◽  
Author(s):  
Mariano Cadoni ◽  
Paolo Carta ◽  
Dietmar Klemm
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Large N

scholarly journals Momentum space parity-odd CFT 3-point functions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sachin Jain ◽  
Renjan Rajan John ◽  
Abhishek Mehta ◽  
Amin A. Nizami ◽  
Adithya Suresh
Keyword(s):  
Momentum Space ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Ward Identities ◽  
Conformal Field ◽  
Weight Shifting ◽  
Conserved Currents

Abstract We study the parity-odd sector of 3-point functions comprising scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to fix the form of some of these correlators. Wherever divergences appear we discuss their regularisation and renormalisation using appropriate counter-terms.

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