论文标题
$ {\ cal {n}} = 4 $ sym理论的spin-1/2费米子操作员
Spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory and DIS from type IIB supergravity
论文作者
论文摘要
我们研究了仪表/重力双重性的极化自旋1/2黑龙的深度非弹性散射（DIS）。我们计算了与$ {\ cal {n}} = 4 $ sym理论在平面限制和强耦合下的spin-1/2效率相关的结构函数。具体而言，我们专注于对某个Dilatino模式双重的Twist-3运算符，并为HADRONIC张量提供了主要贡献。我们考虑bjorken变量在参数范围内$λ^{ - 1/2} _ {sym} \ ll x <1 $，其中超级二重要描述保留。从五球上IIB型超重力的尺寸降低，我们得出了涉及两个Dilatini和无质量矢量场模式的相互作用项。该矢量场是重力的某些成分和四种形式电位的线性组合。五球上的角积分为与动力学的重要后果的相互作用提供了选择规则。这意味着存在有助于我们明确计算的结构函数的新术语。领先的贡献来自Pauli任期，其次是我们发现的新术语的贡献。
We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range $λ^{-1/2}_{SYM} \ll x < 1$ where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.
