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Janus deformation of de Sitter space and transitions in gravitational algebras

2024/11/14 by Dongsu Bak, Chanju Kim, Sang-Heon Yi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.1007/jhep11(2024)094

openalex publication_date 2024/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A bstract We consider a time-dependent O(1/G) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mi>G</mml:mi> </mml:mrow> </mml:mfenced> </mml:math> deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far future with a single deformation parameter. The Penrose diagram can be elongated along the time direction indefinitely as the deformation becomes large. After studying the classical properties of the geometry such as the area theorem and the fluctuation by a matter field, we explore the algebraic structure of the field operators on the deformed spacetime. We argue that the algebra is a von Neumann factor of type II ∞ for small deformations, but there occurs a transition to type I ∞ as the deformation increases so that the neck region of the deformed space becomes a Lorentzian cylinder.

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