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

Jorrin, David; Schvellinger, Martín

doi:10.1103/physrevd.103.106012

Cited by 2 publications

(2 citation statements)

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“…(79) 16 Notice that k ≥ 0 labels the λ ± k dilatino modes, while l ≥ 1 in section 2.1 denotes the B l a modes which in the massless case corresponds to l = 1 (see also footnote 9). 17 Details of the construction of spinor spherical harmonics and higher twist operators will be reported in [45].…”

Section: Selection Rules For An Incident τ = 3 Spin-1/2 Fermionmentioning

confidence: 99%

“…The detailed calculation for general twist operators needs the construction of general spinor spherical harmonics on S 5 . Since in this work we focus on the case of τ = 3, we leave the general case to be discussed in a forthcoming work [45]. However, by adding all the mentioned contributions to each structure function one obtains the following relations which hold for any twist:…”

Section: The Mixed Contribution From Minimal Coupling and Pauli Verticesmentioning

confidence: 99%

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Spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory and DIS from type IIB supergravity

Jorrin,

Michalski,

Schvellinger

2020

Preprint

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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 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 SY M ≪ 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.

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Section: Selection Rules For An Incident τ = 3 Spin-1/2 Fermionmentioning

confidence: 99%

Section: The Mixed Contribution From Minimal Coupling and Pauli Verticesmentioning

confidence: 99%

Spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory and DIS from type IIB supergravity

Jorrin,

Michalski,

Schvellinger

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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Scope and limitations of a string theory dual description of the proton structure

Jorrin

Schvellinger

2022

Phys. Rev. D

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

Cited by 2 publications

References 74 publications

Spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory and DIS from type IIB supergravity

Spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory and DIS from type IIB supergravity

Scope and limitations of a string theory dual description of the proton structure

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