Deformations of Instanton Metrics
Roger Bielawski, Yannic Borchard, and Sergey A. Cherkis
TL;DR
This paper explores a class of geometric spaces called bow varieties, which are deformations of instanton moduli spaces on noncommutative four-dimensional space, and computes their Kähler potentials using a generalized Legendre transform.
Contribution
It introduces a new class of bow varieties as Taub-NUT deformations of instanton moduli spaces and derives their Kähler potentials.
Findings
Identification of bow varieties as Taub-NUT deformations
Explicit computation of Kähler potentials for these spaces
Connection between noncommutative instantons and geometric deformations
Abstract
We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative . Via the generalized Legendre transform, we find the K\"ahler potential on each of these spaces.<
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Advanced Algebra and Geometry