  We investigate the implication of different spin-dependent (SD) operators on
both the direct and indirect detections of the Weakly Interacting Massive
Particle (WIMP). Six representative building blocks of SD operators, together
with their counterparts with a massless mediator are considered to interpret
the direct detection experiments(Xenon100, SIMPLE, and COUPP) in a
comprehensive way. We also study the solar capture and annihilation of WIMPs
with these effective SD operators and place the constraints on the relevant
annihilation rate from neutrino detection experiments Super-Kamionkande and
IceCube. Upper limits on the WIMP-nucleon couplings drawn from direct
detections are also projected to the annihilation rate for contrast and
complementarity. We find that the efficiency of these mentioned detection
strategies depends specifically on the six SD operators, while the
neutrino-based detections are more effective in exploring the parameter space
for the massless mediator scenario.
