Calorons, Nahm's equations on S^1 and bundles over P^1xP^1

Abstract

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 P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x{0}. An explicit matrix description of these spaces is given by a monad construction

References in corpus (13)

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• Exact T-duality between Calorons and Taub-NUT spaces
• Instantons and Magnetic Monopoles on $R^3\times S^1$ with Arbitrary Simple Gauge Groups
• Multi-Caloron solutions
• Constituent monopoles through the eyes of fermion zero-modes
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• Instantons, Monopoles and Toric HyperKaehler Manifolds
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Cited by in corpus (7)

• Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)
• Kinks, chains, and loop groups in the CP^n sigma models
• Symmetric calorons and the rotation map
• Questions on provisional Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories
• On the energy spectrum of Yang--Mills instantons over asymptotically locally flat spaces
• Skyrmions from calorons
• Instantons and Bows for the Classical Groups