Holographic charge transport in non commutative gauge theories

TL;DR

This paper uses holographic methods to analyze charge diffusion in non-commutative gauge theories, revealing directional differences in conductivity that vanish as non-commutativity approaches zero.

Contribution

It provides the first detailed holographic study of charge transport in non-commutative gauge theories, highlighting anisotropic diffusion rates.

Findings

Charge diffusion rates differ along commutative and non-commutative directions.

DC conductivity along non-commutative directions is significantly different from the commutative case.

Discrepancies in transport properties disappear in the limit of zero non-commutativity.

Abstract

In this paper, based on the holographic techniques, we explore the hydrodynamics of charge diffusion phenomena in non commutative $ \mathcal{N}=4 $ SYM plasma at strong coupling. In our analysis, we compute the $ R $ charge diffusion rates both along commutative as well as the non commutative coordinates of the brane. It turns out that unlike the case for the shear viscosity, the DC conductivity along the non commutative direction of the brane differs significantly from that of its cousin corresponding to the commutative direction of the brane. Such a discrepancy however smoothly goes away in the limit of the vanishing non commutativity.