Prog. Theor. Phys. Vol. 90 No. 1 (1993) pp. 263-268

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Letters

Calculation of Knot Polynomials for Unknotted Knots

Masahito Hayashi

Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611

(Received February 5, 1993)

Abstract:

Recently, we have succeeded in constructing algebraic equations among knot and link polynomials. In this paper we report that the polynomials for unknot are really solved exactly from the equations, in the case of SU(N) and E₆. Such data are expected to give us a new insight of the Chern-Simons theory because knot polynomials can be regarded as vacuum expectation values of Wilson loop operators in the Chern-Simons theory.

URL : http://ptp.ipap.jp/link?PTP/90/263/
DOI : 10.1143/PTP.90.263

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Citing Article(s) :

Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 361-377 :
Gravitational Scattering in 2 + 1 Dimensions and Wilson Loop Operators

Masahito Hayashi and Freddy Permana Zen