A general action for topological quantum field theories

Ömer F. Dayi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)667-682
Number of pages16
JournalNuclear Physics B
Issue number3
Publication statusPublished - 15 Jan 1990
Externally publishedYes


Dive into the research topics of 'A general action for topological quantum field theories'. Together they form a unique fingerprint.

Cite this