The noncommutative topology of anti-self-dual gauge fields

JOURNAL OF GEOMETRY AND PHYSICS

卷:72

Article

Brain, Simon

关键词: Noncommutative geometry;    Instantons;    Moduli spaces;   

DOI  :  10.1016/j.geomphys.2013.03.019

来源: Elsevier

【 摘 要 】

Through techniques afforded by C*-algebras and Hilbert modules, we study the topology of spaces which parametrize families of instanton gauge fields on noncommutative Euclidean four-spheres S-sigma(4). By deforming the ADHM construction of instantons on the classical sphere S-4, we obtain families of instantons on the quantum sphere which are naturally parametrized by noncommutative topological spaces. Using the internal gauge theory of S-sigma(4) determined by the inner automorphisms of its function algebra, we find that one may always recover a classical parameter space by making a suitable choice of internal gauge. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free