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

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

{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 {GeV}^{2}

, for data expected to be measured in a future electron-ion collider. Limitations of this holographic dual approach are discussed.

Note:

51 pages, 13 figures

duality: holography
string model: duality
p: asymmetry
photon: virtual
p: structure function
electron nucleon: colliding beams
pomeron
Compton scattering
numerical calculations
deep inelastic scattering

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