Abstract
We show that the value of chiral conductivities associated with anomalous transport is universal in a general class of strongly coupled quantum field theories that admit a gravitational holographic dual in the large N limit. Our result only applies to theories in the presence of external gauge fields with no dynamical gluon fields. On the gravity side the result follows from near horizon universality of the fluctuation equations, similar to the holographic calculation of the shear viscosity.
Highlights
JHEP10(2015)058 where F A,V are the field strengths of background axial1 and vector gauge fields, G is field strength of the gluon field and ai are anomaly coefficients that are well-known to be one-loop exact [17, 18]
We show that the value of chiral conductivities associated with anomalous transport is universal in a general class of strongly coupled quantum field theories that admit a gravitational holographic dual in the large N limit
In this paper we demonstrated that the anomalous conductivity describing the chiral magnetic effect acquires a universal value for a generic holographic model
Summary
In the presence of the Bardeen counter-term on the boundary theory, the correct anomaly equation for the axial current reads,. As r → ∞, we require that the solution becomes asymptotically AdS5 gtt ∼ r2 + · · · , gxx ∼ r2 + · · · , grr ∼ r−2 + · · · ,. Before analysing the fluctuations of the system it is useful to express the temporal components of the gauge fields, At and Vt, in terms of constants of motion.
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