A \(q\)-analogue of the ADHMN construction and the axisymmetric multi-instantons (Q2773074)
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scientific article; zbMATH DE number 1709228
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(q\)-analogue of the ADHMN construction and the axisymmetric multi-instantons |
scientific article; zbMATH DE number 1709228 |
Statements
20 February 2002
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anti-selfdual equation
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one-parameter solution
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axisymmetric multi-instantons
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0.9143236
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0.9129292
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0.91286224
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0.9073329
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0.90566933
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0.8983516
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0.8959297
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A \(q\)-analogue of the ADHMN construction and the axisymmetric multi-instantons (English)
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This paper deals with a further discussion of the relation to the axisymmetric ansatz on the anti-selfdual equation given by Witten in the late 1970s. The authors find that the \(q\)-exponential functions familiar in \(q\)-analysis appear as analytic functions categorizing the anti-selfdual configurations yielded by the axisymmetric ansatz. They discuss the relation between the one-parameter solution and axisymmetric multi-instantons.
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