论文标题

扭转和机器学习的亚稳态真空

Metastable vacua from torsion and machine learning

论文作者

Damian, Cesar, Loaiza-Brito, Oscar

论文摘要

通过在机器学习算法上实现错误函数,我们寻找最小的条件,以构建稳定的抗de Sitter和De Sitter真空,从尺寸IIB字符串理论压缩的Kähler歧管上的扭转中。这允许从五型通量和包裹扭转循环的D-Branes对标量电势的贡献,被解释为非BPS状态。前者意味着有可能构建稳定的广告真空吸尘器,而后来构成了将广告提升到DS真空的机制。特别是我们认为$ \ hat {d5} $ non-bps状态将稳定的广告真空升至(显然)稳定的DS最小值。这两个结果 - 广告真空的生成和相应的向上升高到DS的结果 - 仅限于某些类型的配置,特别是从下面界定的O3 Orientifolds的数量由D3-Branes和Fluxes的数量。在这些条件下,我们报告了170多个(经典)稳定的真空吸尘器。在所有这些中,有效的有效潜力变得非常平坦,表明存在可能的不稳定性来源。我们评论他们与Swampland猜想的关系。

By implementing an error function on a Machine Learning algorithm we look for minimal conditions to construct stable Anti de Sitter and de Sitter vacua from dimensional type IIB String theory compactifcation on Kähler manifolds with torsion. This allows to have contributions to the scalar potential from the five-form flux and from D-branes wrapping torsional cycles, interpreted as non-BPS states. The former implies the possibility to construct stable AdS vacua while the later constitutes a mechanism to uplift AdS to dS vacua. Particularly we consider $\hat{D5}$ non-BPS states to uplift the stable AdS vacua to an (apparently) stable dS minimum. Both results -- the generation of an AdS vacuum and the corresponding uplifting to a dS one -- are restricted to certain type of configurations, specifically with the number of O3 orientifolds bounded from below by the number of D3-branes and fluxes. Under these conditions we report over 170 dS (classical) stable vacua. In all of them, the uplifted effective potential becomes very flat indicating the presence of possible source of instabilities. We comment about their relation with the Swampland Conjectures.

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