## Abstract

We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS_{2} geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solutions using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α^{′} corrections in the leading order.

Original language | English |
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Pages (from-to) | 28-45 |

Number of pages | 18 |

Journal | Nuclear Physics B |

Volume | 794 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2008 May 1 |

### Bibliographical note

Funding Information:K. Hur was supported by the Basic Research Program of the Korea Science and Engineering Foundation under grant number R01-2004-000-10651-0. The work of S. Hyun was supported by the Science Research Center Program of the Korea Science and Engineering Foundation through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021. S. Hyun, H. Kim and S.-H. Yi were supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (KRF-2005-070-C00030).

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics