On Nahm's transformation with twisted boundary conditions

Abstract

Following two different tracks, we arrive at a definition of Nahm's transformation valid for self-dual fields on the 4-dimensional torus with non-zero twist tensor.The transform is again a self-dual gauge field defined on a new torus and with non-zero twist tensor. It preserves the property of being an involution.

18 pages

References in corpus (5)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Monopole Constituents inside SU(n) Calorons
• Exact T-duality between Calorons and Taub-NUT spaces
• Nahm Transformation on the Lattice

Cited by in corpus (10)

• Center vortex model for the infrared sector of Yang-Mills theory - Quenched Dirac spectrum and chiral condensate
• Constructing SU(N) fractional instantons
• Adjoint fermion zero-modes for SU(N) calorons
• Nahm dualities on the torus - a synthesis
• Constituents of Doubly Periodic Instantons
• Doubly Periodic Instantons and their Constituents
• ADHM Construction of Instantons on the Torus
• Comparison of |Q|=1 and |Q|=2 gauge-field configurations on the lattice four-torus
• Gluino zero-modes for calorons at finite temperature
• Large N orbifold field theories on the twisted torus