Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence

Seungjoon Hyun, Wooje Jang, Jaehoon Jeong, Sang Heon Yi

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity and AdS supergravity at the quadratic Lagrangian level. Furthermore we show that these equivalences can be promoted to the full nonlinear level. We also show that the similar behavior holds for the generalized Gibbons-Hawking terms. From this we find that the correlation functions in the dual conformal field theory of Einstein-Weyl gravity and supergravity can be readily read off from corresponding ones from Einstein gravity and AdS supergravity. We also give comments on some issues in critical gravity and supergravity as well as conformal gravity and supergravity.

Original languageEnglish
Article number054
JournalJournal of High Energy Physics
Volume2012
Issue number1
DOIs
Publication statusPublished - 2012 Feb 27

Fingerprint

supergravity
gravitation
equivalence
boundary conditions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Hyun, Seungjoon ; Jang, Wooje ; Jeong, Jaehoon ; Yi, Sang Heon. / Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence. In: Journal of High Energy Physics. 2012 ; Vol. 2012, No. 1.
@article{f81b667aa7674a3cb3d51440aabadbb3,
title = "Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence",
abstract = "We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity and AdS supergravity at the quadratic Lagrangian level. Furthermore we show that these equivalences can be promoted to the full nonlinear level. We also show that the similar behavior holds for the generalized Gibbons-Hawking terms. From this we find that the correlation functions in the dual conformal field theory of Einstein-Weyl gravity and supergravity can be readily read off from corresponding ones from Einstein gravity and AdS supergravity. We also give comments on some issues in critical gravity and supergravity as well as conformal gravity and supergravity.",
author = "Seungjoon Hyun and Wooje Jang and Jaehoon Jeong and Yi, {Sang Heon}",
year = "2012",
month = "2",
day = "27",
doi = "10.1007/JHEP01(2012)054",
language = "English",
volume = "2012",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "1",

}

Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence. / Hyun, Seungjoon; Jang, Wooje; Jeong, Jaehoon; Yi, Sang Heon.

In: Journal of High Energy Physics, Vol. 2012, No. 1, 054, 27.02.2012.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence

AU - Hyun, Seungjoon

AU - Jang, Wooje

AU - Jeong, Jaehoon

AU - Yi, Sang Heon

PY - 2012/2/27

Y1 - 2012/2/27

N2 - We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity and AdS supergravity at the quadratic Lagrangian level. Furthermore we show that these equivalences can be promoted to the full nonlinear level. We also show that the similar behavior holds for the generalized Gibbons-Hawking terms. From this we find that the correlation functions in the dual conformal field theory of Einstein-Weyl gravity and supergravity can be readily read off from corresponding ones from Einstein gravity and AdS supergravity. We also give comments on some issues in critical gravity and supergravity as well as conformal gravity and supergravity.

AB - We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity and AdS supergravity at the quadratic Lagrangian level. Furthermore we show that these equivalences can be promoted to the full nonlinear level. We also show that the similar behavior holds for the generalized Gibbons-Hawking terms. From this we find that the correlation functions in the dual conformal field theory of Einstein-Weyl gravity and supergravity can be readily read off from corresponding ones from Einstein gravity and AdS supergravity. We also give comments on some issues in critical gravity and supergravity as well as conformal gravity and supergravity.

UR - http://www.scopus.com/inward/record.url?scp=84857351814&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857351814&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2012)054

DO - 10.1007/JHEP01(2012)054

M3 - Article

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 054

ER -