论文标题
Wilson loops in $ \ Mathcal {n} = 4 $ $ so（n）$ sym and d-branes in $ ads_5 \ times \ times \ mathbb {rp}^5 $
Wilson loops in $\mathcal{N}=4$ $SO(N)$ SYM and D-Branes in $AdS_5\times \mathbb{RP}^5$
论文作者
论文摘要
我们在$ {\ cal n} = 4 $ super yang-mills中使用正交仪表组的半bps圆形Wilson循环。通过超对称性定位，其期望值可以从$ so（n）$的lie代数上的矩阵积分完全计算。我们专注于大的$ n $限制，并在$ ads_5 \ times \ times \ mathbb {rp}^5 $中使用类型IIB字符串理论提供了一些简单的二元定量测试。特别是，我们表明，威尔逊循环的期望值的强耦合限制在规格组的旋转器表示中，完全匹配了双弦理论对象的经典动作，这预计将是包裹$ \ mathbb {rp}^4 $ uppace $ \ mathbbbbbb $ \ mathbbbb {rp}^5 $ rp}^5 $的D5-Brane。我们还简要讨论了$ n $，大的$λ$限制的$（n）$ wilson循环中的对称/反对称表示及其D3/D5-Brane Duals。最后，我们使用D5-Brane描述来提取与旋转探针电荷相关的“ Bremsstrahung函数”的领先强耦合行为，或等效地将位移操作员的两点函数的归一化在Spinor Wilson Loop上，并与本地化预测一致。
We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$. We focus on the large $N$ limit and present some simple quantitative tests of the duality with type IIB string theory in $AdS_5\times \mathbb{RP}^5$. In particular, we show that the strong coupling limit of the expectation value of the Wilson loop in the spinor representation of the gauge group precisely matches the classical action of the dual string theory object, which is expected to be a D5-brane wrapping a $\mathbb{RP}^4$ subspace of $\mathbb{RP}^5$. We also briefly discuss the large $N$, large $λ$ limits of the $SO(N)$ Wilson loop in the symmetric/antisymmetric representations and their D3/D5-brane duals. Finally, we use the D5-brane description to extract the leading strong coupling behavior of the "bremsstrahlung function" associated to a spinor probe charge, or equivalently the normalization of the two-point function of the displacement operator on the spinor Wilson loop, and obtain agreement with the localization prediction.
