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arXiv · hep-th/9201027

Coset Constructions in Chern-Simons Gauge Theory

J. M. Isidro·J. M. F. Labastida·A. V. Ramallo
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Abstract

Coset constructions in the framework of Chern-Simons topological gauge theories are studied. Two examples are considered: models of the types ${U(1)_p\times U(1)_q\over U(1)_{p+q}}\cong U(1)_{pq(p+q)}$ with $p$ and $q$ coprime integers, and ${SU(2)_m\times SU(2)_1\over SU(2)_{m+1}}$. In the latter case it is shown that the Chern-Simons wave functionals can be identified with t he characters of the minimal unitary models, and an explicit representation of the knot (Verlinde) operators acting on the space of $c<1$ characters is obtained.

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J. M. Isidro, J. M. F. Labastida, A. V. Ramallo. 1992-01-14. Coset Constructions in Chern-Simons Gauge Theory. https://doi.org/10.1016/0370-2693(92)90480-r

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