Are There Topological Black Hole Solitons in String Theory?

Details Are There Topological Black Hole Solitons in String Theory? Are There Topological Black Hole Solitons in String Theory?

1996-12-18

arxiv.org/abs/hep-th/9612197v1

Gen.Rel.Grav.19:1173-1180,1987

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, TeX, requires phyzzx.tex, published in Gen. Rel. Grav. 19 (1987) 1173; comment added on December 18, 1996

Scientific paper

10.1007/BF00759096

We point out that the celebrated Hawking effect of quantum instability of black holes seems to be related to a 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 existence of nontrivial zeros of beta function of the renormalization group.

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