Solitonic strings and BPS saturated dyonic black holes
- School of Natural Science, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)
We consider a six-dimensional solitonic string solution described by a conformal chiral null model with nontrivial {ital N}=4 superconformal transverse part. It can be interpreted as a five-dimensional dyonic solitonic string wound around a compact fifth dimension. The conformal model is regular with the short-distance ({open_quote}{open_quote}throat{close_quote}{close_quote}) region equivalent to a Wess-Zumino-Witten (WZW) theory. At distances larger than the compactification scale the solitonic string reduces to a dyonic static spherically symmetric black hole of toroidally compactified heterotic string. The new four-dimensional solution is parametrized by five charges, saturates the Bogomol{close_quote}nyi bound, and has a nontrivial dilaton-axion field and moduli fields of a two-torus. When acted on by combined {ital T}- and {ital S}-duality transformations it serves as a generating solution for {ital all} the static spherically symmetric Bogomol{close_quote}nyi-Prasad-Sommerfield saturated configurations of the low-energy heterotic string theory compactified on a six-torus. Solutions with regular horizons have the global space-time structure of extreme Reissner-Nordstr{umlt o}m black holes with the non-zero thermodynamic entropy which depends only on conserved (quantized) charge vectors. The {ital independence} of the thermodynamic entropy on moduli and axion-dilaton couplings strongly suggests that it should have a microscopic interpretation as counting degeneracy of underlying string configurations. This interpretation is supported by arguments based on the corresponding six-dimensional conformal field theory. The expression for the level of the WZW theory describing the throat region implies a renormalization of the string tension by a product of magnetic charges, thus relating the entropy and the number of oscillations of the solitonic string in compact directions. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 284009
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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