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Hyper-K{ä}hler Hierarchies and their twistor theory

Abstract:

A twistor construction of the hierarchy associated with the hyper-K\"ahler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The recursion operator R is constructed and used to build an infinite-dimensional symmetry algebra and in particular higher flows for the hyper-K\"ahler equations. It is shown that R acts on the twistor data by multiplication with a rational function. The structures are illustrated by the example of the Sparling-To...

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Publisher copy:
10.1007/PL00005532

Authors


Dunajski, M More by this author
Journal:
Commun.Math.Phys.
Volume:
213
Pages:
641-672
Publication date:
2000-01-03
DOI:
URN:
uuid:76551d1f-e99b-4908-8896-e0ac283d48cb
Source identifiers:
190410
Local pid:
pubs:190410

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