### Abstract

We discuss the AdS_{3}/CFT_{2} duality of a heterotic three-charge model with (0, 4) target space supersymmetry. The worldsheet theory for heterotic strings on the AdS_{3} × S^{3} / Z_{N} × T^{4} near-horizon geometry was constructed by Kutasov et al. [D. Kutasov, F. Larsen, R.G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550 (1999) 183, hep-th/9812027]. We propose that the dual conformal field theory is given by a two-dimensional (0, 4) sigma model arising on the Higgs branch of an orbifolded ADHM model. As a non-trivial consistency check of the correspondence, we find that the left- and right-moving central charges of the infrared conformal field theory agree with those predicted by the worldsheet model. Moreover, using the entropy function formalism, we show that to next-to-leading order the central charge can also be obtained from an α^{′}-corrected supergravity theory.

Original language | English (US) |
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Pages (from-to) | 193-222 |

Number of pages | 30 |

Journal | Nuclear Physics B |

Volume | 804 |

Issue number | 1-2 |

DOIs | |

State | Published - Nov 21 2008 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

_{3}/CFT

_{2}duality with (0, 4) spacetime supersymmetry.

*Nuclear Physics B*,

*804*(1-2), 193-222. https://doi.org/10.1016/j.nuclphysb.2008.06.020