# Solitonic strings and BPS saturated dyonic black holes

## Abstract

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 bymore »

- Authors:

- School of Natural Science, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)|[Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2BZ (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 284009

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 53; Journal Issue: 10; Other Information: PBD: May 1996

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; STRING MODELS; SOLITONS; CONFORMAL INVARIANCE; BLACK HOLES; SPACE-TIME; MANY-DIMENSIONAL CALCULATIONS; CHIRAL SYMMETRY; COMPACTIFICATION; AXIONS; DUALITY; ENTROPY; RENORMALIZATION; OSCILLATIONS

### Citation Formats

```
Cvetic, M., and Tseytlin, A.A.
```*Solitonic strings and BPS saturated dyonic black holes*. United States: N. p., 1996.
Web. doi:10.1103/PhysRevD.53.5619.

```
Cvetic, M., & Tseytlin, A.A.
```*Solitonic strings and BPS saturated dyonic black holes*. United States. doi:10.1103/PhysRevD.53.5619.

```
Cvetic, M., and Tseytlin, A.A. Wed .
"Solitonic strings and BPS saturated dyonic black holes". United States. doi:10.1103/PhysRevD.53.5619.
```

```
@article{osti_284009,
```

title = {Solitonic strings and BPS saturated dyonic black holes},

author = {Cvetic, M. and Tseytlin, A.A.},

abstractNote = {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.}},

doi = {10.1103/PhysRevD.53.5619},

journal = {Physical Review, D},

number = 10,

volume = 53,

place = {United States},

year = {1996},

month = {5}

}