Parity asymmetric boost invariant plasma in AdS/CFT correspondence

TL;DR

This paper extends the gravity dual of boost invariant plasma to include parity asymmetry, analyzing its effects on second order hydrodynamics and transport coefficients in the AdS/CFT framework.

Contribution

It introduces a parity asymmetric extension to the boost invariant plasma solution and maps it to second order conformal hydrodynamics, providing new insights into transport coefficients.

Findings

Parity asymmetric effects appear at second order in late time expansion.

The energy-momentum tensor matches second order conformal hydrodynamics predictions.

Results support the validity of the second order hydrodynamics framework.

Abstract

We consider a simple extension to the previously found gravity solution corresponding to a boost invariant Bjorken plasma, by allowing components that are asymmetric under parity flipping of the spacetime rapidity. Besides the question whether this may have a realization in collisions of different species of projectiles, such as lead-gold collision, our new time dependent gravity background can serve as a test ground for the recently proposed second order conformal viscous hydrodynamics. We find that non-trivial parity-asymmetric effects start to appear at second order in late time expansion, and we map the corresponding energy-momentum tensor to the second order conformal hydrodynamics to find certain second order transport coefficients. Our results are in agreement with the previous results in literature, giving one more corroborative evidence for the validity of the framework.