Multi-Calorons Revisited

Abstract

Analytic Nahm data is re-examined for SU(2) calorons, or periodic instantons, of instanton charge 2. The Nahm equations are solved analytically in terms of Jacobi elliptic functions and the possible matching conditions are classified. The dimensions of framed moduli space for charge 2 caloron is enumerated and the maximal parameter, which is 16 for charge 2, case is identified. The monopole and instanton limits are also considered. It is found that the Nahm data which does not correspond to the standard monopoles plays significant role for calorons.

29 pages, 3 figures, published version

References in corpus (3)

• Moduli Spaces of Instantons on the Taub-NUT Space
• Large scale and large period limits of symmetric calorons
• Determinant of the SU(N) caloron with nontrivial holonomy

Cited by in corpus (9)

• Symmetric calorons and the rotation map
• On the energy spectrum of Yang--Mills instantons over asymptotically locally flat spaces
• Numerical Nahm transform for 2-caloron solutions
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Cyclic Calorons
• Symmetric calorons of higher charges and their large period limits
• Sigma Model BPS Lumps on Torus
• Aspects of $C_3$-symmetric calorons from numerical Nahm transform
• Topology of Calorons Re-examined