## Abstract

The operator product expansion (OPE) between the spin-4 current and itself in the WD_{4} coset minimal model was calculated using SO(8) current algebra. The right-hand side of this OPE contains the spin-6 Casimir current, which is also a generator of the WD_{4} coset minimal model. Based on this N = 8 result, the above OPE was generalized for the general N (in the coset minimal model) using the two N-generalized coupling constants initiated by Hornfeck, which is the simplest OPE for the lowest higher spin currents. The similar OPE in the WB_{3} (and ) coset minimal model was also analyzed with the SO(7) current algebra. The large N 't Hooft limits are discussed. The results in two-dimensional conformal field theory provide asymptotic symmetry at the quantum level of the higher spin AdS_{3} gravity reported by Chen et al.

Original language | English |
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Article number | 175004 |

Journal | Classical and Quantum Gravity |

Volume | 30 |

Issue number | 17 |

DOIs | |

State | Published - 7 Sep 2013 |