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Zero and normal modes for scalar and spinor fields in Kerr-anti de Sitterspacetime are studied as bound state problem with Dirichlet and Neumannboundary conditions. Zero mode is defined as the momentum near the horizon tobe zero: $p_{\rm H}=\omega-\Omega_{\rm H}m=0$, and is shown not to exist asphysical state for both scalar and spinor fields. Physical normal modes satisfythe spectrum condition $p_{\rm H}>0$ as a result of non-existence of zero modeand the analyticity with respect to rotation parameter $a$ of Kerr-anti deSitter black hole. Comments on the super-radiant modes and the thermodynamicsof black hole are given in relation to the spectrum condition for normal modes.Preliminary numerical analysis on normal modes is presented.

Zero, Normal and Super-radiant Modes for Scalar and Spinor Fields in Kerr-anti de Sitter Spacetime