Quantum hair and the string-black hole correspondence

Abstract

We consider a thought experiment in which an energetic massless string probes a "stringhole" (a heavy string lying on the correspondence curve between strings and black holes) at large enough impact parameter for the regime to be under theoretical control. The corresponding, explicitly unitary, $S$-matrix turns out to be perturbatively sensitive to the microstate of the stringhole: in particular, at leading order in $l_s/b$, it depends on a projection of the stringhole's Lorentz-contracted quadrupole moment. The string-black hole correspondence is therefore violated if one assumes quantum hair to be exponentially suppressed as a function of black-hole entropy. Implications for the information paradox are briefly discussed.

11 pages, no figures, typos corrected, discussion and references added, version accepted for publication in Class. and Quantum Gravity

References in corpus (2)

• Black hole information, unitarity, and nonlocality
• Gravitational effects in ultrahigh-energy string scattering

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