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SU(2) Chern-Simons theory at genus zero

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Abstract

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.

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Communicated by A. Jaffe

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Gawelenedzki, K., Kupiainen, A. SU(2) Chern-Simons theory at genus zero. Commun.Math. Phys. 135, 531–546 (1991). https://doi.org/10.1007/BF02104120

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