A Note on Knot Invariants and q-Deformed 2d Yang-Mills

Details A Note on Knot Invariants and q-Deformed 2d Yang-Mills A Note on Knot Invariants and q-Deformed 2d Yang-Mills

2005-09-21

arxiv.org/abs/hep-th/0509167v2

Phys.Lett.B634:78-83,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure. v2: added references, typos corrected

Scientific paper

10.1016/j.physletb.2006.01.014

We compute expectation values of Wilson loops in q-deformed 2d Yang-Mills on
a Riemann surface and show that they give invariants of knots in 3-manifolds
which are circle bundles over the Riemann surface. The areas of the loops play
an essential role in encoding topological information about the extra
dimension, and they are quantized to integer or half integer values.

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