极化IKKT模型的Type IIB超引力解
Type IIB supergravity solutions for polarized IKKT
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中文总结 AI 辅助
本文构造了F(4)不变复化Type IIB超引力的通量势和场强，聚焦Type IIB$^\star$实形式，得到dS_{1,5}×S^2×Σ解并解析延拓为欧几里得正则S^6×S^2×Σ解，实现了极化IKKT模型的全息描述并阐明其荷。
中文摘要 AI 辅助
本文补充了arXiv:2508.14959中推导并分类的、在复李超代数$F(4)$下不变的复化Type IIB超引力的通解，通过构造其通量势和场强。随后，我们聚焦于复Type IIB超引力的Type IIB$^\star$实形式，在此形式下获得了具有翘曲乘积形式$dS_{1,5}\times S^2\times\Sigma$的时空度规解。我们系统地推导了边界和正则性条件，在这些条件下，$dS_{1,5}\times S^2\times\Sigma$解可以解析延拓为欧几里得Type IIB超引力中的正则$S^6\times S^2\times\Sigma$解。利用这些结果，我们构造了显式的全局解。这些解包含了近期提出的极化IKKT模型全息描述方案的具体实现，并阐明了这些解所携带的荷。我们还获得了同一正则类中具有不同膜荷的新解。
英文摘要
The general local solutions to complexified Type IIB supergravity which are invariant under the complex Lie superalgebra $F(4)$, and which were derived and classified in arXiv:2508.14959, are supplemented here by the construction of their flux potentials and field strengths. We then focus on the Type IIB$^\star$ real form of complex Type IIB supergravity, where we obtain solutions with spacetime metric of the warped product form $dS_{1,5}\times S^2\timesΣ$. We systematically derive boundary and regularity conditions under which the $dS_{1,5}\times S^2\timesΣ$ solutions can be analytically continued to regular $S^6\times S^2\timesΣ$ solutions in Euclidean Type IIB supergravity. Using these results, we construct explicit global solutions. These solutions include explicit realizations of recent proposals for a holographic description of the polarized IKKT model, and we clarify the charges carried by these solutions. We also obtain novel solutions in the same regularity class with different brane charges.
发表机构
- Mani L. Bhaumik Institute for Theoretical Physics Department of Physics and Astronomy University of California, Los Angeles（加州大学洛杉矶分校曼尼·L·鲍姆克理论物理研究所物理与天文学系）
- Vrije Universiteit Brussel（布鲁塞尔自由大学）
- The International Solvay Institutes（国际索尔维研究所）
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