Monads for instantons and bows

Sergey A. Cherkis; Jacques Hurtubise

doi:10.4310/ATMP.2019.v23.n1.a4

Monads for instantons and bows

Sergey A. Cherkis, Jacques Hurtubise

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Instantons on the Taub-NUT space are related to `bow solutions' via a generalization of the ADHM-Nahm transform. Both are related to complex geometry, either via the twistor transform or via the Kobayashi-Hitchin correspondence. We explore various aspects of this complex geometry, exhibiting equivalences. For both the instanton and the bow solution we produce two monads encoding each of them respectively. Identifying these monads we establish the one-to-one correspondence between the instanton and the bow solution.

Original language	English (US)
Pages (from-to)	167-251
Number of pages	85
Journal	Advances in Theoretical and Mathematical Physics
Volume	23
Issue number	1
DOIs	https://doi.org/10.4310/ATMP.2019.v23.n1.a4
State	Published - 2019

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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AU - Hurtubise, Jacques

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AB - Instantons on the Taub-NUT space are related to `bow solutions' via a generalization of the ADHM-Nahm transform. Both are related to complex geometry, either via the twistor transform or via the Kobayashi-Hitchin correspondence. We explore various aspects of this complex geometry, exhibiting equivalences. For both the instanton and the bow solution we produce two monads encoding each of them respectively. Identifying these monads we establish the one-to-one correspondence between the instanton and the bow solution.

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Monads for instantons and bows

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