Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime

We find the asymptotic formula for quasinormal mode frequencies omega(n) of the Dirac equation in a Schwarzschild-AdS(D) background in spacetime dimension D > 3, in the large black-hole limit appropriate to many applications of the AdS/CFT correspondence. By asymptotic, we mean large overtone number n with everything else held fixed, and we find the O(n(0)) correction to the known leading O(n) behavior of omega(n). The result has the schematic form omega(n) similar or equal to n Delta omega + A ln n + B, where Delta omega and A are constants and B depends logarithmically on the (D - 2)-dimensional spatial momentum k parallel to the horizon. We show that the asymptotic result agrees well with exact quasinormal mode frequencies computed numerically.