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arXiv 2102.05620astro-ph.COhep-phhep-th
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恒速暴胀:来自共形重量跃迁的原始黑洞

Constant-rate inflation: primordial black holes from conformal weight transitions

Kin-Wang Ng, Yi-Peng Wu

摘要:

恒速暴胀,包括作为特例的超慢滚,已被广泛应用于原始黑洞的形成,其在功率谱的增长和衰减阶段都显著偏离标准慢滚条件。我们推导出解析解的曲率扰动相对于后期的缩放尺寸(共形权重)的约束下的德西特背景的膨胀对称性,并表明,在不同的滚动阶段的共形权重的连续性保护的绝热条件的暴胀扰动。子领先状态的时间激发(与下一个到最低的共形权重),记录为“最陡的增长”的功率谱,是由熵产生的慢卷到恒速阶段的过渡触发。

英文摘要:

Constant-rate inflation, including ultra-slow-roll as a special case, has been widely applied to the formation of primordial black holes with significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive analytic solutions for the curvature perturbations with respect to the late-time scaling dimensions (conformal weights) constrained by the dilatation symmetry of the de Sitter background and show that the continuity of conformal weights across different rolling phases is protected by the adiabatic condition of the inflaton perturbation. The temporal excitation of subleading states (with the next-to-lowest conformal weights), recorded as the "steepest growth" of the power spectrum, is triggered by the entropy production in the transition from slow-roll to constant-rate phases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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