Quantized BF theory in the superfibre bundle approach

Details Quantized BF theory in the superfibre bundle approach Quantized BF theory in the superfibre bundle approach

Jul 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.1587a&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 7, pp. 1587-1596 (1997).

Physics

4

Scientific paper

We discuss the quantized, D = 4, non-Abelian BF theory within the superfibre bundle formalism. By introducing an even pseudotensorial 2-superform over a principal superfibre bundle with superconnection, we obtain the geometrical BRST and anti-BRST transformations of the fields occurring in such a theory. These are the closed modulo classical equations of motion. Then, giving a prescription to construct the gauge-fixing action through a modified BRST operator, we determine the on-shell nilpotent BRST symmetry and the quantum action. We also show how this quantum action is invariant under the on-shell nilpotent anti-BRST symmetry obtained by modifying the geometrical anti-BRST operator. However, we find that, in relation to the anti-BRST symmetry, the quantum action also possesses a vector supersymmetry of ghost number (+1).

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