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Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
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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.
Forward citations
Cited by 2 Pith papers
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Supercurrents and (Partial) Supersymmetry in Adjoint QCD$_2$ and Its Generalizations
A conserved Lorentz covariant supercurrent is constructed in adjoint QCD2 and its generalizations, fixing the supersymmetric mass and yielding new fully supersymmetric gapless models.
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Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists
Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.
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