### Abstract

Fermionic and bosonic ghost systems are defined each in terms of a single vertex algebra which admits a one-parameter family of conformal structures. The observation that these structures are related to each other provides a simple way to obtain character formulae for a general twisted module of a ghost system. The U (1) symmetry and its subgroups that underlie the twisted modules also define an infinite set of invariant vertex subalgebras. Their structure is studied in detail from a W algebra point of view with particular emphasis on ℤ_{N}-invariant subalgebras of the fermionic ghost system.

Original language | English |
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Pages (from-to) | 669-688 |

Number of pages | 20 |

Journal | Nuclear Physics B |

Volume | 518 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 11 1998 |

### Keywords

- Conformal field theory
- Invariant subalgebras
- Twisted representations
- W algebras

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Eholzer, W., Fehér, L., & Honecker, A. (1998). Ghost systems: A vertex algebra point of view.

*Nuclear Physics B*,*518*(3), 669-688. https://doi.org/10.1016/S0550-3213(98)00061-3