The moduli space of solutions to Nahm’s equations of rank (
k,
k +
j) on the circle, and hence, of
SU(2) calorons of charge (
k,
j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on
\mathbbP1 ×\mathbbP1{\mathbb{P}^{1} \times \mathbb{P}^{1}} trivialized at infinity (
{¥} ×\mathbbP1 È\mathbbP1 ×{¥}{\{\infty\} \times \mathbb{P}^{1} \cup \mathbb{P}^{1} \times \{\infty\}}) with
c
2 =
k and equipped with a flag of degree
j along
\mathbbP1 ×{0}{\mathbb{P}^1 \times \{0\}}. An explicit matrix description of these spaces is given by a monad construction.
Communicated by G.W. Gibbons