Information Retention by Stringy Black Holes

Building upon our previous work on two-dimensional stringy black holes and its extension to spherically-symmetric four-dimensional stringy black holes, we show how the latter retain information. A key rôle is played by an infinite-dimensional W∞ symmetry that preserves the area of an isolated black-hole horizon and hence its entropy. The exactly-marginal conformal worldsheet operator representing a massless stringy particle interacting with the black hole necessarily includes a contribution fromW∞ generators in its vertex function. This admixture manifests the transfer of information between the string black hole and external particles. We discuss different manifestations ofW∞ symmetry in black-hole physics and the connections between them.