Magnetic monopole dynamics, supersymmetry, and duality

By Erick Weinberg, Piljin Yi. 2006

184 citations recorded by the source corpus.

Abstract We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states. After an overview of magnetic monopoles, we discuss the BPS limit and its relation to supersymmetry. We then discuss the properties and construction of multimonopole solutions with a single nontrivial Higgs field. The low-energy dynamics of these monopoles is most easily understood in terms of the moduli space and its metric. We describe in detail several known examples of these. This is then extended to cases where the unbroken gauge symmetry include a non-Abelian factor. We next turn to the generic supersymmetric Yang–Mills (SYM) case, in which several adjoint Higgs fields are present. Working first at the classical level, we describe the effects of these additional scalar fields on the monopole dynamics, and then include the contribution of the fermionic zero modes to the low-energy dynamics. The resulting low-energy effective theory is itself supersymmetric. We discuss the quantization of this theory and its quantum BPS states, which are typically composed of several loosely bound compact dyonic cores. We close with a discussion of the D-brane realization of N = 4 SYM monopoles and dyons and explain the ADHMN construction of monopoles from the D-brane point of view.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f72ce74751518dc5ad3d6cf540116c8db287c4cf

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In Nuclear and High Energy Physics

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4. S. Sugimoto
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Citations in the corpus

• Framed BPS states (2010, unknown): “It seems clear that it should be possible to give a rigorous definition in terms of zero modes of certain Dirac operators on moduli spaces of (singular) monopoles coupled to appropriate vector bundles along the lines of [71, 72, 73, 74].”
• Selfdual strings and loop space Nahm equations (2008, methodology): “Here we check the steps in the verification of the Nahm construction, following closely the steps in [8].”
• N=2 Supersymmetric Dynamics for Pedestrians (2013, background): “For a detailed exposition of topics discussed in this subsection, the readers should consult the reviews such as [28, 29], or the textbook [30].”
• Baryons from instantons in holographic QCD (2007, background): “The situation is quite analogous to the case of monopoles [45] (see, for example, [46, 44, 47] for a review) and also of the Skyrmion [30].”
• Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model (2012, background): “In studying calorons, Yi and Lee [58], and van Baal et al [59], analyzed the difference between trivial (degenerate eigenvalue distribution) and non-trivial holonomy (maximally non-degenerate distribution), and realized the importance of non-trivial holonomy for topological configurations with fract”