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Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories

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arxiv hep-th/0703267 v2 pith:FRMAWTR2 submitted 2007-03-28 hep-th

Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories

classification hep-th
keywords theoriessolitonssupersymmetriccriticalgaugeintroductionnon-abeliannon-supersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the last decade it became clear that methods and techniques based on supersymmetry provide deep insights in quantum chromodynamics and other supersymmetric and non-supersymmetric gauge theories at strong coupling. In this review we summarize major advances in the critical (Bogomol'nyi-Prasad-Sommerfeld-saturated, BPS for short) solitons in supersymmetric theories and their implications for understanding basic dynamical regularities of non-supersymmetric theories. After a brief introduction in the theory of critical solitons (including a historical introduction) we focus on three topics: (i) non-Abelian strings in N=2 and confined monopoles; (ii) reducing the level of supersymmetry; and (iii) domain walls as D brane prototypes.

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  1. Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole

    hep-th 2026-05 unverdicted novelty 5.0

    The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.