  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 ${\cal
{N}}=4$ 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.
