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arXiv 2011.00051hep-th
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动态蝌蚪与弱引力约束

Dynamical Tadpoles and Weak Gravity Constraints

Alessandro Mininno, Angel M. Uranga

摘要:

非超对称弦模型被动态场的蝌蚪所困扰,这表明真空产生了未抵消的力。我们认为,在某些情况下,未取消的动态蝌蚪可以导致不一致的量子引力,通过违反沼泽地的约束。我们描述了一个明确的实现在超对称的环形${\textbf{Z}}_2\times{\textbf{Z}}_2$ orientifold与D 7-膜,其中的动态蝌蚪产生的位移的D 7-膜的最小值导致违反的轴子弱引力猜想。在这些例子中,动态蝌蚪的抵消为动态性质的配置提供了一致性条件(与拓扑蝌蚪的拓扑条件相反,例如紧凑空间中的RR蝌蚪抵消)。我们表明,这种方法提供了一个重新推导的Z-最小化的AdS真空的标准,在4D $\mathcal{N}=1$复曲面SCFT的α-最大化的引力对偶。

英文摘要:

Non-supersymmetric string models are plagued with tadpoles for dynamical fields, which signal uncanceled forces sourced by the vacuum. We argue that in certain cases, uncanceled dynamical tadpoles can lead to inconsistencies with quantum gravity, via violation of swampland constraints. We describe an explicit realization in a supersymmetric toroidal ${\textbf{Z}}_2\times{\textbf{Z}}_2$ orientifold with D7-branes, where the dynamical tadpole generated by displacement of the D7-branes off its minimum leads to violation of the axion Weak Gravity Conjecture. In these examples, cancellation of dynamical tadpoles provides consistency conditions for the configuration, of dynamical nature (as opposed to the topological conditions of topological tadpoles, such as RR tadpole cancellation in compact spaces). We show that this approach provides a re-derivation of the Z-minimization criterion for AdS vacua giving the gravitational dual of a-maximization in 4d $\mathcal{N}=1$ toric quiver SCFTs.

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