The moduli space of two U(1) instantons on noncommutative $R^4$ and $R^3\times S^1$

Kimyeong Lee; David Tong; Sangheon Yi

doi:10.1103/PhysRevD.63.065017

paper

The moduli space of two U(1) instantons on noncommutative $R^{4}$ and $R^{3} \times S^{1}$

arXiv:hep-th/0008092 · doi:10.1103/PhysRevD.63.065017

Abstract

We employ the ADHM method to derive the moduli space of two instantons in U(1) gauge theory on a noncommutative space. We show by an explicit hyperKähler 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 $R^{3} \times S^{1}$ , 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, we show that the Coulomb branch of SU(2) gauge group with a single massive adjoint hypermultiplet coincides with the above two caloron moduli space.

23 pages, no figure, additional references

The moduli space of two U(1) instantons on noncommutative $R^{4}$ and $R^{3} \times S^{1}$

Abstract

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Cited by in corpus (28)

The moduli space of two U(1) instantons on noncommutative R4 and R3×S1

Abstract

References in corpus (8)

Cited by in corpus (28)

The moduli space of two U(1) instantons on noncommutative $R^{4}$ and $R^{3} \times S^{1}$