Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters
Abstract
We construct a family of irreducible representations of the quantum continuous $gl_\infty$ whose characters coincide with the characters of representations in the minimal models of the $W_n$ algebras of $gl_n$ type. In particular, we obtain a simple combinatorial model for all representations of the $W_n$-algebras appearing in the minimal models in terms of $n$ interrelating partitions.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2010
- DOI:
- 10.48550/arXiv.1002.3113
- arXiv:
- arXiv:1002.3113
- Bibcode:
- 2010arXiv1002.3113F
- Keywords:
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- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Representation Theory
- E-Print:
- 24 pages