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Freed, Daniel S.; Quinn, Frank

Chern-Simons theory with finite gauge group. (English) Zbl 0788.58013

Commun. Math. Phys. 156, No. 3, 435-472 (1993).
The authors construct in detail a \(2+1\) dimensional gauge theory with finite gauge group, which was originally introduced by R. Dijkgraaf and E. Witten. In the given context the path integral reduces to a finite sum, eliminating thus the analytic problems of quantization. A specific aspect is the focus on the algebraic structure and particularly the construction of quantum Hilbert spaces on closed surfaces by cutting and pasting, including the “Verlinde formula”.
Reviewer: V.Balan (Bucureşti)

Cited in 5 Reviews
Cited in 98 Documents

MSC:

58D30 Applications of manifolds of mappings to the sciences
81T13 Yang-Mills and other gauge theories in quantum field theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

Keywords:

finite gauge group; closed surfaces; cutting; pasting
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References:

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