  Strongly coupled conformal field theory appears to describe universal scaling
around quantum criticality, where critical exponents reflect the nature of
emergent excitations. In particular, novel symmetries can emerge from strong
interactions, expected to be responsible for quantum number fractionalization.
The underlying mechanism has been proposed that an emergent enhanced symmetry
allows a topological term associated with anomaly, which assigns a fermion's
quantum number to a topological excitation, referred as the Goldstone-Wilczek
current. Although this mechanism has been verified in one dimensional
interacting electrons, where either spinons or holons are identified with
topological solitons, its generalization to higher dimensions is beyond the
field theoretic framework in the respect that interplay between interaction and
anomaly cannot be taken into account sincerely within the field theory
technique above one dimension. In this study we examine the interplay between
correlations and topological terms based on the holographic approach, allowing
us to incorporate such nonperturbative quantum effects via solving classical
equations of motion but on a curved space. We solve the
Einstein-Maxwell-Chern-Simons theory on the Reissner-Nordstr\"om-AdS$_5$ in the
extremal limit, and uncover novel critical exponents to appear in the
current-current correlation functions, where both the emergent locality and the
Chern-Simons term play an important role in such critical exponents. We
speculate that the corresponding conformal field theory may result from
interacting U(1) currents with chiral anomaly at finite density, expected to be
applicable to topological insulators with strong interactions, where dyon-type
excitations appear to carry nontrivial fermion's quantum numbers.
