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

Abstract

We calculate the structure function F₃(x, q²) of the hadronic tensor of deep inelastic scattering (DIS) of charged leptons from glueballs of 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 AdS₅ 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 S⁵. 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.