Chern-Simons theory and Kauffman polynomials

Journal Article · Mon Mar 19 23:00:00 EST 1990 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X90000556· OSTI ID:6587018

Wu, Y S; Yamagishi, K ^[1]

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1. Dept. of Physics, Univ. of Utah, Salt Lake City, UT (US)

The authors report on a study of the expectation values of Wilson loops in D = 3 Chern-Simons theory. The general skein relations (of higher orders) are derived for these expectation values. The authors show that the skein relations for the Wilson loops carrying the fundamental representations of the simple Lie algebras SO(n) and Sp(n) are sufficient to determine invariants for all knots and links and that the resulting link invariants agree with Kauffman polynomials. The polynomial for an unknotted circle is identified to the formal characters of the fundamental representations of these Lie algebras.

• OSTI ID: 6587018
• Journal Information: International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 5:6; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD ALGEBRA
FUNCTIONS
LIE GROUPS
POLYNOMIALS
SO GROUPS
SYMMETRY GROUPS
WILSON LOOP