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arXiv 2104.08654hep-phastro-ph.COhep-th
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打破PDKEEPAAA（2，1）/ SU（2）$\times$ U（1）对称性产生原初黑洞的机制

Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry

Ioanna D. Stamou

备注：
36 pages, 12 figures
发表信息：
Phys. Rev. D 103, 083512 (2021)
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摘要：

为了解释宇宙中原初黑洞的产生，本文提出了一类由无标度超引力导出的引力势。通过破坏SU（2，1）/SU（2）$\times$ U（1）对称性，我们固定了两个手征场中的一个，并导出了能够产生PBH的有效标量势。具体来说，我们修改众所周知的超势，减少到Starobinsky样的有效标量势。因此，我们得到标量势，一方面，解释PBH的产生，另一方面，他们保存的变换律，从陪集SU（2，1）/SU（2）$\times$ U（1）的参数化。此外，我们通过修改拉格朗日（或凯勒势）的动力学项来生成PBH，并且我们保持超势不变。在所有的情况下，我们评估的分数丰度的PBH通过比较Press-Schechter方法和峰值理论，而专注于解释宇宙中的暗物质。所有模型都符合普朗克约束。

英文摘要：

In this paper we present a class of potentials derived by no-scale supergravity in order to explain the production of primordial black holes (PBHs) in the Universe. By breaking the SU(2,1)/SU(2)$\times$U(1) symmetry we fix one of the two chiral fields and we derive effective scalar potentials which are capable of generating PBHs. Specifically, we modify well-known superpotentials, which reduce to Starobinsky-like effective scalar potentials. Thus, we derive scalar potentials which, on the one hand, explain the production of PBHs and, on the other hand, they conserve the transformation laws, which yield from the parametrization of the coset SU(2,1)/SU(2)$\times$U(1). Moreover, we generate PBHs by modifying the kinetic term of the Langrangian (or the Kähler potential) and we keep the superpotentials unmodified. In all cases we evaluate the fractional abundances of PBHs by comparing Press-Schechter approach and peak theory, while focusing on explaining the dark matter in the Universe. All models are in complete consistence with Planck constraints.

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