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非超对称多粒子态的全息关联函数

Holographic correlators with non-supersymmetric multi-particle states

Michele Giorgi, Stefano Giusto

arXiv 2609.20534首次发表:更新:

发表机构

Section de Mathématiques, Université de Genéve; Dipartimento di Fisica, Università di Genova; I.N.F.N. Sezione di Genova(日内瓦大学数学系; 热那亚大学物理系; 意大利国家核物理研究所热那亚分部)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究非超对称多粒子态的全息关联函数,证明在特定极限下其与树级连通贡献的关系仍成立,并推测该猜想可推广至更一般的全息对偶。

AI 中文摘要

我们考虑重-重-轻-轻(HHLL)全息关联函数,其中重态是$n$粒子算符的相干叠加。在大$n$和大中心荷$c$且$n/c$保持固定的极限下,这些HHLL关联函数由经典超引力计算描述。当多粒子算符为半BPS时,已有研究表明HHLL关联函数的$n/c\ o 0$极限编码了四点函数的树级连通贡献,其中重算符被两个有限$n$的$n$粒子算符所替代。我们提供证据表明,当多粒子算符为非超对称时,这一关系仍然成立。尽管我们的检验是在AdS$_3$/CFT$_2$框架下进行的,但我们预期我们的猜想可推广到更一般的全息对偶。

英文摘要

We consider heavy-heavy-light-light (HHLL) holographic correlators in which the heavy states are coherent superpositions of $n$-particle operators. In the limit of large $n$ and large central charge, $c$, with $n/c$ held fixed, these HHLL correlators are described by a classical supergravity computation. When the multi-particle operators are half-BPS, it has been shown that the $n/c\to 0$ limit of the HHLL correlator encodes the tree-level connected contribution to the 4-point function with the heavy operators replaced by two $n$-particle operators with finite $n$. We provide evidence that this relation continues to hold when the multi-particle operators are non-supersymmetric. Although our checks are carried out in the AdS$_3$/CFT$_2$ setting, we expect that our conjecture extends to more general holographic dualities.

Comments23 pages

论文原文

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