publication . Article . 2001

Moduli space of twoU(1)instantons on noncommutativeR4andR3×S1

Kimyeong Lee; David Tong; Sang-Heon Yi;
Open Access
  • Published: 26 Feb 2001 Journal: Physical Review D, volume 63 (issn: 0556-2821, eissn: 1089-4918, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
We employ the Afiyah-Drinfield-Hitchin-Manin method to derive the moduli space of two instantons in $U(1)$ gauge theory on a noncommutative space. We show by an explicit hyper-K\"ahler quotient construction that the relative metric of the moduli space of two instantons on ${R}^{4}$ is the Eguchi-Hanson metric and find a unique threshold bound state. For two instantons on ${R}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{1},$ otherwise known as calorons, we give the asymptotic metric and conjecture a completion. We further discuss the relationship of caloron moduli spaces of A, D, and E groups to the Coulomb branches of three-dimensional gauge theory. In particular,...
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Subjects
arXiv: High Energy Physics::LatticeHigh Energy Physics::Theory
free text keywords: Modular equation, Moduli of algebraic curves, Instanton, Gauge group, Mathematical physics, Noncommutative geometry, Physics, Moduli space, Caloron, Gauge theory
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