发表机构
COEP Technological University（COEP理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究通过AdS/CFT全息术连接缺陷，利用超对称探测D5膜解嵌入特定背景，通过移动其轮廓形成U形缺陷，展示如何通过在体时空穿过对偶巨引力子D3膜，全息测量SYM理论中重行列式算符的U(1)全局对称荷。
AI 中文摘要
在本文中，我们讨论了一些嵌入在通过对全局\(AdS_5\times S^5\)时空进行变形而获得的IIB型超引力背景解中的超对称探测D5膜解。感兴趣的D5膜解具有非紧致的世界体积，当它与反\(\overline{\text{D5}}\)解重合放置时，该组合对偶于边界\(SYM\)理论的一个余维数为1的缺陷。如果我们将探测D5的轮廓更多地移向体时空的边界，对偶缺陷会变成\(U(1)\)零形式全局对称性的拓扑对称缺陷，从而形成一个从边界悬挂的U形轮廓。我们展示了如何通过在体时空中将悬挂的D5膜穿过对偶巨引力子D3膜，利用全息术测量\(SYM\)理论中重行列式算符的\(U(1)\)全局对称荷。
英文摘要
In this article, we discuss some supersymmetric probe D5 brane solutions embedded in a type 2b supergravity background solution obtained by deforming the global $AdS_5 \times S^5$ spacetime. The D5 brane solution of interest has a non-compact worldvolume, and when it is placed alongside overlapping with an anti-$\overline{\text{D5}}$ solution, the combination is dual to a codimension-1 defect of the boundary $SYM$ theory. The dual defect becomes a topological symmetry defect of a $U(1)$ $0$-form global symmetry if we move the profile of the probe D5 more towards the boundary of the bulk spacetime, resulting in a U-shaped profile hanging from the boundary. We show how the hanging D5 brane can be used holographically to measure the $U(1)$ global symmetry charge of the heavy determinant operators in the SYM theory by moving them across dual giant graviton D3 branes in the bulk spacetime.
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