BPS saturation of the N=4 monopole by infinite composite-operator renormalization

Abstract

Quantum corrections to the magnetic central charge of the monopole in N=4 supersymmetric Yang-Mills theory are free from the anomalous contributions that were crucial for BPS saturation of the two-dimensional supersymmetric kink and the N=2 monopole. However these quantum corrections are nontrivial and they require infinite renormalization of the supersymmetry current, central charges, and energy-momentum tensor, in contrast to N=2 and even though the N=4 theory is finite. Their composite-operator renormalization leads to counterterms which form a multiplet of improvement terms. Using on-shell renormalization conditions the quantum corrections to the mass and the central charge then vanish both, thus verifying quantum BPS saturation.

arXiv comment1+14 pages, 2 figures. v3: version to appear in Phys. Lett. B (Note added and minor corrections)

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• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Quantum Mass and Central Charge of Supersymmetric Monopoles - Anomalies, current renormalization, and surface terms
• Monopole-vortex complex at large distances and nonAbelian duality
• One-loop results for kink and domain wall profiles at zero and finite temperature
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• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• Quantum fluctuation energies over a spatially inhomogeneous field background in a chiral soliton model
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent