SU(2) CHERN-SIMONS THEORY AT GENUS ZERO

Gawedzki, Krzysztof; Kupiainen, Antti

doi:10.1007/BF02104120

SU(2) CHERN-SIMONS THEORY AT GENUS ZERO

Mar, 1990

24 pages

Published in:

Commun.Math.Phys. 135 (1991) 531-546

DOI:

10.1007/BF02104120

Report number:

IHES-P-90-18

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Abstract: (Springer)

We present a detailed study of the Schrödinger picture space of states in theSU(2) Chern-Simons topological gauge theory in the simplest geometry. The space coincides with that of the solutions of the chiral Ward identities for the WZW model. We prove that its dimension is given by E. Verlinde's formulae.

gauge field theory: SU(2)
Chern-Simons term
gauge field theory: topological
dimension: 3
Riemann surface
moduli space
field theory: conformal
Wess-Zumino-Witten model
Ward identity
mathematical methods

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