Large \(N\) limit of Calogero-Moser models and conformal field theories. (English) Zbl 0977.81031
Summary: We discuss the large \(N\) limit of Calogero-Moser models for the classical infinite families of simple Lie algebras \(A_N\), \(B_N\), \(C_N\) and \(D_N\). We show that the limit defines two different conformal field theories with central charge \(c>1\). The value of \(c\) and the dimension of the primary field are dictated by the underlying algebraic symmetries of the model.
MSC:
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81V70 | Many-body theory; quantum Hall effect |
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