Action of the loop group on the self-dual Yang-Mills equation (Q1099459)
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scientific article; zbMATH DE number 4040893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Action of the loop group on the self-dual Yang-Mills equation |
scientific article; zbMATH DE number 4040893 |
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Action of the loop group on the self-dual Yang-Mills equation (English)
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1987
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Recently Kac-Moody symmetry has played an important role in mathematical physics. Dolan and Chau, Ge and Wu discovered an infinitesimal action of the Kac-Moody Lie algebra on the space of solutions of SDYM (self dual Yang-Mills equation). We have discovered an action of the loop group on the space of generalized solutions of SDYM, which exponentiates the Kac- Moody action. The group acts by adding a special type of source onto the solution. The action is a geometric construction using the twistor picture.
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Kac-Moody symmetry
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infinitesimal action of the Kac-Moody Lie algebra
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loop group
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