ϕ4-model and holography in four dimensions

2004/09/30 by Farhang Loran · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Euclidean geometry #Euclidean space #Geometry #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.10.060

published as Phys.Lett. B605 (2005) 169-180 · Appendix B including two eps figures is added where the identities necessary for section 3 are worked out. Furthermore a diagrammatic approach to calculate higher order terms in the perturbation series is given

openalex publication_date 2004/12/15 · arxiv created 2006/12/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The generating function of correlators of dual operators on the boundary of (A)dS4 space corresponding to the conformally coupled ϕ⁴-model is obtained up to first order in the coupling constant by using the conformal map between massless scalar fields in (Euclidean) Minkowski space and conformally coupled scalars on (Euclidean anti) de Sitter space. Some exact classical solutions of the nonlinear wave equation of massless (conformally coupled) ϕ³, ϕ⁴ and ϕ⁶-models in D=6,4,3 Euclidean/Minkowski (AdS/dS) spaces are obtained.

Citations

• Boundary terms in the AdS/CFT correspondence for spinor fields
• The holographic principle
• Generalized second law of thermodynamics in black-hole physics
• The Holographic Bound in Anti-de Sitter Space
• The dS/CFT correspondence
• The world as a hologram
• Les Houches Lectures on De Sitter Space
• Black Holes and Entropy
• On the origin of supergravity boundary terms in the AdS /CFT correspondence
• The large N limit of superconformal field theories and supergravity

Cited by

• Nonlinear Laplace equation, de Sitter vacua, and information geometry