Kac-Moody algebras, conformal symmetry and critical exponents (Q1112943)
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scientific article; zbMATH DE number 4079696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kac-Moody algebras, conformal symmetry and critical exponents |
scientific article; zbMATH DE number 4079696 |
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Kac-Moody algebras, conformal symmetry and critical exponents (English)
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1985
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A group-theoretical method is presented for constructing new unitary representations of the Virasoro algebra out of Fermi fields. Some of these commute with Kac-Moody algebras constructed out of the Fermi fields (via the ``quark model'') and some have a supersymmetric extension. An example with both these properties is relevant to the tricritical Ising model at the critical temperature. The critical exponents are calculated explicitly from the construction.
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unitary representations
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Virasoro algebra
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Fermi fields
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Kac-Moody algebras
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quark model
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tricritical Ising model
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critical exponents
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