Moduli Stabilisation and the Holographic Swampland
Moduli Stabilisation and the Holographic Swampland
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模量稳定和全息沼泽
DOI：
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发表时间：
2020
影响因子：
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通讯作者：
Filippo Revello
中科院分区：
文献类型：
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作者：
J. Conlon;Filippo Revello
我们调查是否沼泽约束弱耦合，模稳定弦真空在AdS的低能量动力学可以涉及到他们假定的全息图的不一致性，或更一般地说，重铸的CFT数据。我们发现，各种沼泽地一致性约束是等价的负性条件的某些混合异常尺寸的符号。这种情况类似于因果关系和酉性引起的CFT积极性界限，但一般不成立。研究的方案包括LVS，KKLT，扰动和赛道稳定。有趣的是，LVS真空（$\Delta_{\varphi} = 8.038$）似乎也非常接近一个临界值（$\Delta_{\varphi} = 8$），在这个临界值处，反常尺寸改变了符号。最后，我们指出了一个有趣的连接到沼泽地距离猜想，无论是在其原始版本和改进版本。
We investigate whether Swampland constraints on the low-energy dynamics of weakly coupled, moduli-stabilised string vacua in AdS can be related to inconsistencies of their putative holographic duals or, more generally, recast in terms of CFT data. We find that various swampland consistency constraints are equivalent to a negativity condition on the sign of certain mixed anomalous dimensions. This condition is similar to well-established CFT positivity bounds arising from causality and unitarity, but not known to hold in general. The studied scenarios include LVS, KKLT, and both perturbative and racetrack stabilisation. Interestingly, the LVS vacuum (with $\Delta_{\varphi} = 8.038$) also appears to live very close to a critical value ($\Delta_{\varphi} = 8$) where the anomalous dimensions change sign. We finally point out an intriguing connection to the Swampland Distance Conjecture, both in its original and refined versions.