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The role of fixed scalars in scattering off a 5D black hole

We discuss the role of fixed scalars($ν,λ$) in scattering off a five-dimensional balck hole. The issue is to explain the disagreement of the greybody factor for $λ$ between the semiclassical and effective string calculations. In the effective string approach, this is related to the operators with dimension (3,1) and (1,3). On the semiclassical calculation, this originates from a complicated mixing between $λ$ and other fields. Hence it may depend on the decoupling procedure. It is shown that $λ$ depends on the gauge choices such as the harmonic, dilaton gauges, and the Krasnitz-Klebanov setting for $h_{μν}$. It turns out that $ν$ plays a role of test field well, while the role of $λ$ is obscure.