### Resumen

A black hole solution in three spacetime dimensions, endowed with an SU(2) charge is presented. The construction is based on two main features of three dimensions: i) AdS_{3} spacetime is locally Lorentz-flat, that is, it can be covered with a congruence of local inertial observers, just like flat Minkowski space; ii) The SO(2,1) and SU(2) groups are isomorphic, so that a flat connection of the first can be mapped to a flat connection of the second. The global nontrivial nature of the solution is a consequence of the topology produced by the identification in the covering space that gives rise to the 2+1 black hole. It can be seen that this solution belongs to the vacuum (matter-free) sector of a supersymmetric theory based on the Chern-Simons action for the su(1, 2|2) superalgebra. The action for this system matches that of graphene in the long wavelength limit near the Dirac point. The SU(2) gauge symmetry is interpreted as the freedom to choose locally the definition of spin quantization axis for the electrons.

Idioma original | English |
---|---|

Número de artículo | 012005 |

Publicación | Journal of Physics: Conference Series |

Volumen | 600 |

N.º | 1 |

DOI | |

Estado | Published - 28 abr 2015 |

Publicado de forma externa | Sí |

### Huella dactilar

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Citar esto

*Journal of Physics: Conference Series*,

*600*(1), [012005]. https://doi.org/10.1088/1742-6596/600/1/012005

}

*Journal of Physics: Conference Series*, vol. 600, n.º 1, 012005. https://doi.org/10.1088/1742-6596/600/1/012005

**2+1 black hole with SU(2) hair (and the theory where it grows).** / Zanelli, Jorge.

Resultado de la investigación: Article

TY - JOUR

T1 - 2+1 black hole with SU(2) hair (and the theory where it grows)

AU - Zanelli, Jorge

PY - 2015/4/28

Y1 - 2015/4/28

N2 - A black hole solution in three spacetime dimensions, endowed with an SU(2) charge is presented. The construction is based on two main features of three dimensions: i) AdS3 spacetime is locally Lorentz-flat, that is, it can be covered with a congruence of local inertial observers, just like flat Minkowski space; ii) The SO(2,1) and SU(2) groups are isomorphic, so that a flat connection of the first can be mapped to a flat connection of the second. The global nontrivial nature of the solution is a consequence of the topology produced by the identification in the covering space that gives rise to the 2+1 black hole. It can be seen that this solution belongs to the vacuum (matter-free) sector of a supersymmetric theory based on the Chern-Simons action for the su(1, 2|2) superalgebra. The action for this system matches that of graphene in the long wavelength limit near the Dirac point. The SU(2) gauge symmetry is interpreted as the freedom to choose locally the definition of spin quantization axis for the electrons.

AB - A black hole solution in three spacetime dimensions, endowed with an SU(2) charge is presented. The construction is based on two main features of three dimensions: i) AdS3 spacetime is locally Lorentz-flat, that is, it can be covered with a congruence of local inertial observers, just like flat Minkowski space; ii) The SO(2,1) and SU(2) groups are isomorphic, so that a flat connection of the first can be mapped to a flat connection of the second. The global nontrivial nature of the solution is a consequence of the topology produced by the identification in the covering space that gives rise to the 2+1 black hole. It can be seen that this solution belongs to the vacuum (matter-free) sector of a supersymmetric theory based on the Chern-Simons action for the su(1, 2|2) superalgebra. The action for this system matches that of graphene in the long wavelength limit near the Dirac point. The SU(2) gauge symmetry is interpreted as the freedom to choose locally the definition of spin quantization axis for the electrons.

UR - http://www.scopus.com/inward/record.url?scp=84928777130&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/600/1/012005

DO - 10.1088/1742-6596/600/1/012005

M3 - Article

AN - SCOPUS:84928777130

VL - 600

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012005

ER -