Are there topological black-hole solitons in string theory?
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We point out that the celebrated Hawking effect of quantum instability of black holes seems to be a purely semiclassical but nonperturbative effect in string theory. Studying quantum dynamics of strings in the gravitational background of black holes we find classical instability due to emission of massless string excitations. The topology of a black hole seems to play a fundamental role in developing the string theory classical instability due to the effect of sigma model instantons. We argue that string theory allows for a qualitative description of black holes with very small masses and it predicts topological solitons with quantized spectrum of masses. These solitons would not decay into string massless excitations but could be pair-created and may annihilate also. Semiclassical mass quantization of topological solitons in string theory is based on the argument showing the existence of nontrivial zeros of the beta function of the renormalization group.
KeywordsBlack Hole Soliton String Theory Renormalization Group Sigma Model
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