The Moduli Space Metric for Well - separated BPS Monopoles
نویسندگان
چکیده
The Lagrangian for the motion of n well-separated BPS monopoles is calculated, by treating the monopoles as point particles with magnetic, electric and scalar charges. It can be reinterpreted as the Lagrangian for geodesic motion on the asymptotic region of the n-monopole moduli space, thereby determining the asymptotic metric on the moduli space. The metric is hyperkähler, and is an explicit example of a type of metric considered previously.
منابع مشابه
Moduli space of many BPS monopoles for arbitrary gauge groups.
We study the moduli space for an arbitrary number of BPS monopoles in a gauge theory with an arbitrary gauge group that is maximally broken to U(1). From the low energy dynamics of well-separated dyons we infer the asymptotic form of the metric for the moduli space. For a pair of distinct fundamental monopoles, the space thus obtained is R3 × (R1 ×M0)/Z where M0 is the Euclidean Taub-NUT manifo...
متن کاملComment on the Bound State Problem in N = 4 Super Yang - Mills Theory
We reexamine the threshold bound state problem on the wrong sign Taub-Nut space; the metric on which describes the relative moduli space of well separated BPS monopoles. The quantum mechanics gives rise to a continuous family of threshold bound states, in distinction to the unique one found on the Atiyah-Hitchin metric.
متن کاملMonopoles and the Gibbons-manton Metric
We show that, in the region where monopoles are well separated, the L-metric on the moduli space of n-monopoles is exponentially close to the Tn-invariant hyperkähler metric proposed by Gibbons and Manton. The proof is based on a description of the Gibbons-Manton metric as a metric on a certain moduli space of solutions to Nahm’s equations, and on twistor methods. In particular, we show how the...
متن کاملThe moduli space metric for tetrahedrally symmetric 4-monopoles
The metric on the moduli space of SU(2) charge four BPS monopoles with tetrahedral symmetry is calculated using numerical methods. In the asymptotic region, in which the four monopoles are located on the vertices of a large tetrahedron, the metric is in excellent agreement with the point particle metric. We find that the four monopoles are accelerated through the cubic monopole configuration an...
متن کاملThe Moduli Space of BPS Domain Walls
N = 2 SQED with several flavors admits multiple, static BPS domain wall solutions. We determine the explicit two-kink metric and examine the dynamics of colliding domain walls. The multi-kink metric has a toric Kähler structure and we reduce the Kähler potential to quadrature. In the second part of this paper, we consider semi-local vortices on R×S1. We argue that, in the presence of a suitable...
متن کامل