FRW/CFT duality
In the world of FRW/CFT duality, there is a wide range of information, opinions and perspectives that intertwine to shape understanding and knowledge on this topic. From history to the present, FRW/CFT duality has played a significant role in different fields, arousing the interest of experts, enthusiasts and the curious alike. Over time, it has been debated, studied and analyzed in various ways, allowing for a more complete and detailed view of FRW/CFT duality. In this article, we will explore the many facets of FRW/CFT duality, examining its origins, impact, and relevance in the present, with the goal of providing a comprehensive perspective on this fascinating topic.
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In physics, the Friedmann–Robertson–Walker/conformal field theory-duality or FRW/CFT duality[1][2] is a conjectured duality for Friedmann–Robertson–Walker metric inspired by the AdS/CFT correspondence. It assumes that the cosmological constant is exactly zero, which is only the case for models with exact unbroken supersymmetry. Because the energy density does not approach zero as we approach spatial infinity, the metric is not asymptotically flat. This is not an asymptotically cold solution.
Overview
In eternal inflation, our universe passes through a series of phase transitions with progressively lower cosmological constant. Our current phase has a cosmological constant of size , which is conjectured to be metastable in string theory[citation needed]. It is possible our universe might tunnel into a supersymmetric phase with an exactly zero cosmological constant. In fact, any particle in eternal inflation will eventually terminate in a phase with exactly zero or negative cosmological constant. The phases with negative cosmological constant will end in a Big Crunch. Stephen Shenker and Leonard Susskind called this the census taker's hat.[3]
The conformal compactification of the terminal phase has a Penrose diagram shaped like a hat for future null infinity. A Euclidean Liouville quantum field theory is assumed to reside there. The null coordinate corresponds to the running of the renormalization group.
The terminal phase has an ever-expanding FRW metric in which the average energy density goes to zero.
References
- ^ Yasuhiro, Sekino; Susskind, Leonard (28 Oct 2009). "Census Taking in the Hat: FRW/CFT Duality". Phys. Rev. 80 (8) 083531. arXiv:0908.3844. Bibcode:2009PhRvD..80h3531S. doi:10.1103/PhysRevD.80.083531. S2CID 18616546.
- ^ Bousso, Raphael; Susskind, Leonard (22 Jul 2011). "The Multiverse Interpretation of Quantum Mechanics". Physical Review D. 85 (4) 045007. arXiv:1105.3796. Bibcode:2012PhRvD..85d5007B. doi:10.1103/PhysRevD.85.045007. S2CID 118507872.
- ^ Susskind, Leonard (2009). "The Census Taker's Hat". In Zanelli, Jorge; Henneaux, Marc (eds.). Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity. New York, NY: Springer. pp. 1–53. doi:10.1007/978-0-387-87499-9_16. ISBN 978-0-387-87499-9.
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