Skein Relations and Wilson Loops in {Chern-Simons} Gauge Theory - INSPIRE

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Skein Relations and Wilson Loops in {Chern-Simons} Gauge Theory

James H. Horne
(
- Princeton U.
)

Sep, 1989

26 pages

Published in:

Nucl.Phys.B 334 (1990) 669-694

Published: 1990

DOI:

10.1016/0550-3213(90)90317-7

Report number:

PUPT-89-1147

View in:

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Abstract: (Elsevier)

We derive the skein relations for the fundamental representations of SO( N ), Sp(2 n ), SU( m | n ), and OSp( m |2 n ). These relations can be used recursively to calculate the expectation values of Wilson lines in three-dimensional Chern-Simons gauge theory with these gauge groups. A combination of braiding and tying of Wilson lines completely describes the skein relations.

gauge field theory
Chern-Simons term
Wilson loop
dimension: 3
group: SO(N)
group theory: Sp(N)
group theory: SU(M/N)
group theory: OSp(M/N)
group theory: representation
knot theory: skein relation

References(17)

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