Abstract
According to one of Maldacena's dualities, type IIB string theory on AdS\_3 X
S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In
this note we compute the elliptic genus of the boundary theory in the
supergravity approximation. A finite quantity is obtained once we introduce a
particular exclusion principle. In the regime where the supergravity
approximation is reliable, we find exact agreement with the elliptic genus of a
sigma model with target space K3^N/S\_N.
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