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Monopoles and Solitons in Fuzzy Physics

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arxiv hep-th/9811169 v6 pith:XHOVVMB4 submitted 1998-11-18 hep-th gr-qchep-latmath-phmath.MPmath.QA

S. Baez , A. P. Balachandran , S. Vaidya , B. Ydri This is my paper · ORCID
classification hep-thgr-qchep-latmath-phmath.MPmath.QA
keywords fuzzymonopolesphysicssolitonsdiscretizationsactionaspectsbelavin-polyakov
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Monopoles and solitons have important topological aspects like quantized fluxes, winding numbers and curved target spaces. Naive discretizations which substitute a lattice of points for the underlying manifolds are incapable of retaining these features in a precise way. We study these problems of discrete physics and matrix models and discuss mathematically coherent discretizations of monopoles and solitons using fuzzy physics and noncommutative geometry. A fuzzy sigma-model action for the two-sphere fulfilling a fuzzy Belavin-Polyakov bound is also put forth.

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  1. The spectrum of defect ABJM theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    The quantum fluctuation spectrum of the 1/2-BPS ABJM domain wall is diagonalized and shown to organize into supersymmetric multiplets with conformal dimensions differing by 1/2.

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