  Certain supersymmetric elementary string states with spin can be viewed as
small black rings whose horizon has the topology of S^1 \times S^{d-3} in a
d-dimensional string theory. By analyzing the singular black ring solution in
the supergravity approximation, and using various symmetries of the \alpha'
corrected effective action we argue that the Bekenstein-Hawking-Wald entropy of
the black string solution in the full string theory agrees with the statistical
entropy of the same system up to an overall normalization constant. While the
normalization constant cannot be determined by the symmetry principles alone,
it can be related to a similar normalization constant that appears in the
expression for small black holes without angular momentum in one less
dimension. Thus agreement between statistical and macroscopic entropy of
(d-1)-dimensional non-rotating elementary string states would imply a similar
agreement for a d-dimensional elementary string state with spin. Our analysis
also determines the structure of the near horizon geometry and provides us with
a geometric derivation of the Regge bound. These studies give further evidence
that a ring-like horizon is formed when large angular momentum is added to a
small black hole.
