AI 中文总结
研究在特定条件下超引力理论的基态，通过在纯伸缩子\(STU\)模型中研究相关几何结构，利用非平凡规范场得到丰富的超对称真空家族，可全息描述三维强耦合规范理论，并刻画了超对称解模空间。
AI 中文摘要
当费米子在\(AdS_4\)中沿类空\(S^1\)反周期时，超引力理论的某些基态由类\(AdS\)孤子时空描述。我们在从\(M\)理论在\(S^7\)上紧致化得到的纯伸缩子\(STU\)模型中研究这些几何结构，存在非平凡规范场。所得构型定义了丰富的处处正则超对称真空家族，全息描述三维强耦合‘禁闭’规范理论。我们根据截断的一维算符的真空期望值提供了超对称解模空间的完整刻画。
英文摘要
When fermions are taken to be anti-periodic along a spacelike $S^1$ in $AdS_4$, certain ground states of the supergravity theory are described by AdS-soliton-like spacetimes. We study these geometries within the purely dilatonic STU model obtained from the compactification of M-theory on $S^7$ in the presence of non-trivial gauge fields. The resulting configurations define a rich family of everywhere regular supersymmetric vacua that holographically describe strongly coupled ``confining'' gauge theories in three dimensions. We provide a complete characterization of the moduli space of supersymmetric solutions in terms of the vacuum expectation values of the dimension-one operators of the truncation.
Comments17 pages, 1 figure
