arXiv 2104.082632021-04hep-th

弦对偶到自由${\cal N}=4$的超级杨-米尔斯

The String Dual to Free ${\cal N}=4$ Super Yang-Mills

Matthias R. Gaberdiel, Rajesh Gopakumar

备注：: 4 pages + references and supplementary material; v2: references added and small changes in wording
发表信息：: Phys. Rev. Lett. 127, 131601 (2021)
DOI：: 10.1103/PhysRevLett.127.131601

摘要：

我们提出了一个世界表描述的${\rm AdS}_5\times {\rm S}^5$弦论对偶大$N$，自由${\cal N}=4$超杨米尔斯在四维。世界面理论是最近在${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$上研究的无张力弦的自然推广。和${\rm AdS}_3$一样，它有自由场描述，有频谱流动的扇区，并且与（双）扭量弦论密切相关。然而，在这里，我们把它看作是一个关键的$N=4$（封闭的）字符串背景。我们认为，相应的世界表规范约束减少自由度的振荡器（弦位）在每个频谱流部门的有限数量。在这个约化振子福克空间上加上一组剩余规范约束，就决定了弦论的物理谱。非常值得注意的是，我们发现令人信服的证据表明，这一处方精确地再现了整个平面频谱-单迹运营商-的自由超级杨米尔斯理论。

英文摘要：

We propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated tensionless string on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$. As in the case of ${\rm AdS}_3$ it has a free field description, with spectrally flowed sectors, and is closely related to an (ambi-)twistor string theory. Here, however, we view it as a critical $N=4$ (closed) string background. We argue that the corresponding worldsheet gauge constraints reduce the degrees of freedom to a finite number of oscillators (string bits) in each spectrally flowed sector. Imposing a set of residual gauge constraints on this reduced oscillator Fock space then determines the physical spectrum of the string theory. Quite remarkably, we find compelling evidence that this prescription reproduces precisely the entire planar spectrum - of single trace operators - of the free super Yang-Mills theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文