DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term

Abstract

We calculate the structure function $F_3(x,q^2)$ of the hadronic tensor of deep inelastic scattering (DIS) of charged leptons from glueballs of $\mathcal{N}=4$ SYM theory at strong coupling and at small values of the Bjorken parameter in the gauge/string theory duality framework. This is done in terms of type IIB superstring theory scattering amplitudes. From the AdS${}_5$ perspective, the relevant part of the scattering amplitude comes from the five-dimensional non-Abelian Chern-Simons terms in the $SU(4)$ gauged supergravity obtained from dimensional reduction on $S^5$. From type IIB superstring theory we derive an effective Lagrangian describing the four-point interaction in the local approximation. The exponentially small regime of the Bjorken parameter is investigated using Pomeron techniques.

35 pages, 3 figures

References in corpus (17)

• The Pomeron and Gauge/String Duality
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Saturation in Deep Inelastic Scattering from AdS/CFT
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality
• Hadron structure functions at small $x$ from string theory
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$ from string theory
• Deep inelastic scattering cross sections from the gauge/string duality
• Towards 1/N corrections to deep inelastic scattering from the gauge/gravity duality
• Structure functions in deep inelastic scattering from gauge/string duality beyond single-hadron final states
• Some tree-level string amplitudes in the NSR formalism
• Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system

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• 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Deep inelastic scattering with proton target in the presence of gluon condensation using holography
• Deep inelastic scattering from string/gauge duality with soft IR cutoff and exponentially small Bjorken parameter