Symmetric and antisymmetric structure functions from electromagnetic deep inelastic scattering of charged leptons off spin-$1/2$ hadrons are investigated in the framework of a top-down holographic dual description. We consider the Brower-Polchinski-Strassler-Tan Pomeron, type IIB superstring theory scattering amplitudes, and type IIB supergravity on ${\mathrm{AdS}}_5\times S^5$. In all cases, the hard-wall prescription is used. Different kinematic regions of the Bjorken variable $x$, as well as the squared momentum of the virtual photon $Q^2$, are studied in detail for $F_2^P$ and $g_1^P$ structure functions of the proton. Also, the virtual Compton scattering asymmetry of the proton $A_1^P$ is investigated. Comparison with data from several experimental collaborations is presented. In addition, the holographic Pomeron leads to predictions for the mentioned observables for very small $x$ values. In particular, we present predictions for $g_1^P$ at $Q^2$ around $10{\mathrm{GeV}}^2$, for data expected to be measured in a future electron-ion collider. Limitations of this holographic dual approach are discussed.

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弦论质子结构双重描述的范围和局限性

从自旋带电轻子的电磁深非弹性散射的对称和反对称结构函数$1/2$在自上而下的全息对偶描述的框架下研究强子。我们考虑 Brower-Polchinski-Strassler-Tan Pomeron、IIB 型超弦理论散射幅度和 IIB 型超重力${\mathrm{广告}}_5\times {\mathrm{小号}}^5$. 在所有情况下，都使用硬壁处方。Bjorken 变量的不同运动学区域$X$，以及虚光子的平方动量${问}^2$, 被详细研究为$F_2^{磷}$和$G_1^{磷}$质子的结构函数。此外，质子的虚拟康普顿散射不对称${\mathrm{一个}}_1^{磷}$被调查。与来自几个实验合作的数据进行了比较。此外，全息波美隆导致对上述可观测物的预测非常小$X$价值观。特别是，我们提出了预测$G_1^{磷}$在${问}^2$大约$10{\mathrm{锗钒}}^2$，用于预计将在未来的电子离子对撞机中测量的数据。讨论了这种全息双重方法的局限性。