Quantum theory of non-abelian differential forms and link polynomials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, REVISED: minor improvements

Scientific paper

10.1142/S0217732394003841

A topological quantum field theory of non-abelian differential forms is investigated from the point of view of its possible applications to description of polynomial invariants of higher-dimensional two-component links. A path-integral representation of the partition function of the theory, which is a highly on-shell reducible system, is obtained in the framework of the antibracket-antifield formalism of Batalin and Vilkovisky. The quasi-monodromy matrix, giving rise to corresponding skein relations, is formally derived in a manifestly covariant non-perturbative manner.

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