摘要: This letter continues the program aimed at analysis of the scalar product ofstates in the Chern-Simons theory. It treats the elliptic case with group SU(2). The formal scalar product is expressed as a multiple finite dimensional i... 展开 This letter continues the program aimed at analysis of the scalar product ofstates in the Chern-Simons theory. It treats the elliptic case with group SU(2). The formal scalar product is expressed as a multiple finite dimensional integral which, in convergent for every state, provides the space of states with a Hilbert space structure. The convergence is checked for states with a single Wilson line where the integral expressions encode the Bethe-Ansatz solutions of the Lame equation. In relation to the Wess-Zumino-Witten conformal field theory, the scalar product renders unitary the Knizhnik-Zamaolodchikov-Bernar connection and gives a pairing between conformal blocks used to obtain the genus one correlation functions. 收起