Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling

TL;DR

This paper investigates the hydrodynamic properties of N=6 superconformal Chern-Simons theories at strong coupling using dual M-theory and string theory corrections, focusing on shear viscosity to entropy density ratio modifications.

Contribution

It computes one-loop and alpha' corrections to shear viscosity in the dual gravitational theories, revealing positive corrections at strong coupling.

Findings

Positive correction to shear viscosity to entropy density ratio.

Corrections computed at both M-theory and type IIA levels.

Results support the universality of viscosity bounds in strongly coupled theories.

Abstract

Using the duality conjecture between N=6 supersymmetric U(N)_k \times U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong 't Hooft coupling and at small k level, we have considered one-loop correction to the M-theory effective action. At large k level, we have considered the alpha' correction to the type IIA effective action. In both cases the correction to the ratio of shear viscosity to the entropy density is positive.