Test Equipment for the TH Radio System

Implicit metric on a deformation of the Atiyah-Hitchin manifold

“…In this case the generating functions described above would give the metric on the 8-dimensional space which corresponds to this moduli space metric in the center of mass of the (2, ) charge. The moduli space metrics described in 29 follow from the construnction using Nahm's equations by [8] and prove the form conjectured in [9].…”

“…We rotate the quartic (12) into Weierstrauss form by using the SL(2, C) transformation in (8), under which we have…”

“…Although we are unable to compute the metric explicitly from the generating function, in the following we note its relations to the metric on the (2, 1) centered moduli space occuring in a completely broken SU(3) gauge theory recently considered in [8].…”

“…In [8] it was shown using Nahm's equations that the Dancer's family of metrics is the same as that describing the SU(3) → U(1) 2 monopole monopole moduli space with charges (2, 1) after taking the infinite mass limit of the (, 1) charge. The three parameters (a, ā, b) labelling the deformation is now the position of the fixed (, 1) charge.…”

“…where η(ζ) = z + vζ + wζ 2 − vζ 3 + zζ 4 ; the contour integrals are defined in section 2. The metrics generated by (1) are also related to the metrics on the moduli space of (2, 1) monopoles in a maximally broken SU(3) theory [8].…”