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

Abstract

The role of local higher-twist ($\tau >3$) spin-1/2 fermionic operators of the strongly coupled $\mathcal{N}=4$ 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 $\mathcal{N}=4$ 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${}^{\ast }$ and 60${}^{\ast }$ 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 ($\tau =3$) case, and they are studied thoroughly.

arXiv comment36 pages, 7 figures

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