arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.05643hep-th
收藏

三维球体自由能的挤压、质量和全息

Squashing, Mass, and Holography for 3d Sphere Free Energy

Shai M. Chester, Rohit R. Kalloor, Adar Sharon

备注：
23 pages
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们考虑了$\mathcal{N}=6$ ABJ（M）理论中由三个实质量$m_I$变形的球自由能$F(b;m_I)$和挤压参数$b$，它是用超对称定域的$N$维矩阵模型积分计算的.我们发现，设置$m_3=i\frac{b-b^{-1}}{2}$涉及$F(b;m_I)$的圆球自由能，这意味着无限的关系之间的$m_I$和$b$衍生物的$F(b;m_I)$评价在$m_I=0$和$b=1$。对于$\mathcal{N}=8$ ABJ（M）理论，这些关系式将所有四阶和某些五阶导数固定为$m_1,m_2$的导数，这些导数先前使用费米气体方法计算到$1/N$中的所有阶次。这使我们能够计算$\partial_b^4 F\vert_{b=1}$和$\partial_b^5 F\vert_{b=1}$到$1/N$中的所有阶，我们精确地匹配到最近的预测，以子领先的$1/N$从全息双$AdS_4$体理论。

英文摘要：

We consider the sphere free energy $F(b;m_I)$ in $\mathcal{N}=6$ ABJ(M) theory deformed by both three real masses $m_I$ and the squashing parameter $b$, which has been computed in terms of an $N$ dimensional matrix model integral using supersymmetric localization. We show that setting $m_3=i\frac{b-b^{-1}}{2}$ relates $F(b;m_I)$ to the round sphere free energy, which implies infinite relations between $m_I$ and $b$ derivatives of $F(b;m_I)$ evaluated at $m_I=0$ and $b=1$. For $\mathcal{N}=8$ ABJ(M) theory, these relations fix all fourth order and some fifth order derivatives in terms of derivatives of $m_1,m_2$, which were previously computed to all orders in $1/N$ using the Fermi gas method. This allows us to compute $\partial_b^4 F\vert_{b=1}$ and $\partial_b^5 F\vert_{b=1}$ to all orders in $1/N$, which we precisely match to a recent prediction to sub-leading order in $1/N$ from the holographically dual $AdS_4$ bulk 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。

↑