  In the present paper, based on the principles of gauge/gravity duality we
analytically compute the shear viscosity to entropy ratio corresponding to the
superfluid phase in Einstein Gauss-Bonnet gravity. From our analysis we note
that the ratio indeed receives a finite temperature correction below certain
critical temperature. This proves the non universality of shear viscosity to
entropy ratio in higher derivative theories of gravity. We also compute the
upper bound for the Gauss-Bonnet coupling corresponding to the symmetry broken
phase and note that the upper bound on the coupling does not seem to change as
long as we are close to the critical point of the phase diagram. However the
corresponding lower bound of the shear viscosity to entropy ratio seems to get
modified due to the finite temperature effects.
