## Abstract

Topological field theories can be formulated by starting from a higher dimensional action. The additional dimension is an unphysical time parameter and the action is the derivative of a functional W with respect to this variable. In the d = 4 case, it produces actions which are shown to give topological quantum field theory after gauge fixing. In d = 3 this action leads to the hamiltonian, which yields the Floer groups if the additional parameter is treated as physical when W is the pure Chern-Simons action. This W can be used to define a topological quantum field theory in d = 3 by treating the additional parameter as unphysical. The BFV-BRST operator quantization of this theory yields an enlarged system which has only first-class constraints. This is not identical to the previously introduced d = 3 topological quantum field theory, even if it is shown that the latter theory also gives the theory which we started with, after a partial gauge fixing.

Original language | English |
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Pages (from-to) | 667-682 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 329 |

Issue number | 3 |

DOIs | |

Publication status | Published - 15 Jan 1990 |

Externally published | Yes |