Chern-Simons theories on SO( N ) and Sp(2 N ) and link polynomials

Journal Article · Fri Dec 14 23:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.4135· OSTI ID:5864848

Kim, T W; Cho, B H ^[1]; Park, S U ^[2]

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1. Department of Physics, Korea Advanced Institute of Science and Technology, P.O. Box 150, Cheongryang, Seoul (Korea)
2. Department of Physics, University of Jeonju, Jeonju, Jeonlabuk-Do (Korea)

We obtain the skein relations for link polynomials from the Chern-Simons theories on SO({ital N}) and Sp(2{ital N}), using Witten's method which he has used in order to obtain such a relation for the Jones polynomial in the case of SU({ital N}). We show that for SO({ital N}) and Sp(2{ital N}) these polynomials are related to the Dubrovnik polynomial.

• OSTI ID: 5864848
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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