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Considering rank s fields obey first order equation of motion, we study thedynamics of such fields in a 3 dimensional self-dual space-like warped $AdS_3$black hole background. We argue that in this background, symmetric conditionsand gauge constraint can not be satisfied simultaneously. Using new suitableconstraint, we find the exact solutions of equation of motion. Then, we obtainthe quasi-normal modes by imposing appropriate boundary condition at horizonand infinity.

Tensor Fields on Self-Dual Warped $AdS_3$ Background