Abstract
We analyze the algebra of observables and the physical Fock space of the finite Chern-Simons matrix model. We observe that the minimal algebra of observables acting on that Fock space is identical to that of the Calogero model. Our main result is the identification of the states in the l-th tower of the Chern-Simons matrix model Fock space and the states of the Calogero model with the interaction parameter ν = l + 1.
talk given by L. Jonke
Actually, it was shown by Polychronakos that owing to the quantum effects the corresponding filling fraction is 1/(k + 1).
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Jonke, L., Meljanac, S. (2003). Finite Chern-Simons Matrix Model - Algebraic Approach. In: Trampetić, J., Wess, J. (eds) Particle Physics in the New Millennium. Lecture Notes in Physics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36539-7_34
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DOI: https://doi.org/10.1007/3-540-36539-7_34
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