Kontsevich-Segal criterion in the no-boundary state constrains anisotropy

IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy
Thomas Hertog, Oliver Janssen, Joel Karlsson
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引用次数: 0

Abstract

We show that the Kontsevich-Segal-Witten (KSW) criterion applied to the no-boundary state constrains anisotropic deformations of de Sitter space. We consider squashed S3 and S1×S2 boundaries and find that, in both models, the KSW criterion excludes a significant range of homogeneous but anisotropic configurations. For squashed S3 boundaries, the excluded range includes all surface geometries with negative scalar curvature, in line with dS/CFT reasoning. For S1×S2 boundaries, we find that KSW selects the low-temperature regime of configuration space where the S1 is sufficiently large compared to the S2. In both models, the KSW criterion renders the semiclassical wave function normalizable, up to one-loop effects. Published by the American Physical Society 2025
无边界状态下的kontsevic - segal判据约束各向异性
我们证明了kontsevic - segal - witten (KSW)准则适用于无边界状态约束的de Sitter空间各向异性变形。我们考虑了压扁的S3和S1×S2边界,并发现,在这两个模型中,KSW标准排除了大量均匀但各向异性的配置。对于压扁的S3边界,排除范围包括所有具有负标量曲率的表面几何形状,符合dS/CFT推理。对于S1×S2边界,我们发现KSW选择了S1比S2足够大的构型空间的低温区。在这两个模型中,KSW准则使半经典波函数可归一化,直至单环效应。2025年由美国物理学会出版
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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