论文标题

高倍的费米子操作员和DIS结构功能来自AD/CFT二元性

Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality

论文作者

Jorrin, David, Schvellinger, Martin

论文摘要

研究了强烈耦合的$ {\ cal {n}} = 4 $超对称阳米尔斯理论在对称和反对对称性深度无弹性散射(DIS)结构方面的局部高扭($τ> 3 $)Spin-1/2 spin-1/2的效率。计算是根据$ {\ cal {n}} = 4 $ sym理论和ADS $ _5 \ times s^5 $的IIB SuperGravity之间的双重性进行的。特别是,我们明确地在20 $^*$和60 $^*$和60 $^*$ nordrubible表示$ su(4)_r $中明确地获得了单个跟踪Spin-1/2费米子操作员的结构功能,分别对应于4和5。我们还计算了4、20和60 $ SU(4)_r $的4、20和60不可约表示的其他单个单个Spin-1/2费米子操作员的贡献。与最小扭曲($τ= 3 $)的情况相比,发现了新的重要效果,并且对它们进行了详尽的研究。

The role of local higher-twist ($τ> 3$) spin-1/2 fermionic operators of the strongly coupled ${\cal {N}}=4$ supersymmetric Yang-Mills theory on the symmetric and antisymmetric deep inelastic scattering (DIS) structure functions is investigated. The calculations are carried out in terms of the duality between ${\cal {N}}=4$ SYM theory and type IIB supergravity on AdS$_5 \times S^5$. Particularly, we explicitly obtain the structure functions for single-trace spin-1/2 fermionic operators in the 20$^*$ and 60$^*$ irreducible representations of $SU(4)_R$, corresponding to twists 4 and 5, respectively. We also calculate the contributions of other single-trace spin-1/2 fermionic operators in the 4, 20 and 60 irreducible representations of $SU(4)_R$. New important effects are found in comparison with the minimal twist ($τ= 3$) case, and they are studied thoroughly.

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