论文标题
超对称仪表理论中非亚伯弦的动力学
Dynamics of non-Abelian strings in supersymmetric gauge theories
论文作者
论文摘要
该论文致力于研究超对称仪表理论中的强耦合现象（尤其是限制）。调查的中心对象是非阿布莱安字符串，负责4D $ {\ MATHCAL N}中的单孔的“代替”阶段= 2 $ supersymmetric QCD，u（$ n $）gouge组和$ n_f $ n_f $ flavors quark hypermultiplets，$ n_f $ n \ n_f $ n_f $ n_f $ n \ n \ leqslant $ n $ n \ leq leqslant $ preq leqsl preq leq leq leq leq leq leq leq。 在这里表明，当我们过渡到$ {\ mathcal n} = 1 $ supersymmetric QCD时，非阿布尔字符串和限制的单孔可以生存。为此，我们考虑了伴随物质的质量术语$μ$，并且在大$μ$的限制中，批量理论将流向$ {\ Mathcal n} = 1 $。我们从批量的角度和世界表理论中考虑了这一过渡，这是二维$ \ mathbb {cp}（n-1）$模型。单孔在$ {\ Mathcal n} = 1 $ supersymmetric QCD中的生存对于“代替限制”阶段很重要，也对Seiberg-witten的约束图片也很重要。 除此之外，我们还考虑了4D $ \ MATHCAL {n} = 2 $ supersymmetric QCD的非阿布莱安涡流字符串，带有u $（n = 2）$ gauge group和$ n_f = 4 $ Quark Hypermultiplets的风味。最近已经表明，这些漩涡作为关键的超弦。特别是，最低的字符串状态似乎是无质量的bps“ baryon”。在这里，我们使用纯粹的现场理论方法显示了这种弦味的重子的发生。此外，当筛选的Quarks和弱耦合的仪表玻色子被强构强耦合的密闭单端抗抗凝结杆对取代时，我们明确地证明了“代替”阶段。 英语版本。全文（俄语和英语）可在官方网页上获得https://go.spbu.ru/20a2711。
This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is responsible for the "instead-of-confinement" phase for monopoles in 4D ${\mathcal N} = 2$ supersymmetric QCD with the U($N$) gauge group and $N_f$ flavors of quark hypermultiplets, $N \leqslant N_f \leqslant 2 N$. Here it is shown that the non-Abelian strings and confined monopoles survive when we transition to the ${\mathcal N} = 1$ supersymmetric QCD. To this end we consider a mass term $μ$ for the adjoint matter, and in the limit of large $μ$ the bulk theory flows to ${\mathcal N} = 1$. We consider this transition both from the bulk point of view and from the world sheet theory, which is the two-dimensional $\mathbb{CP}(N-1)$ model. Survival of monopoles in the ${\mathcal N} = 1$ supersymmetric QCD is important for the "instead-of-confinement" phase, and also for the Seiberg-Witten picture of confinement. Apart from that, we also consider non-Abelian vortex strings in 4D $\mathcal{N} = 2$ supersymmetric QCD with U$(N=2)$ gauge group and $N_f=4$ flavors of quark hypermultiplets. It has been recently shown that these vortices behave as critical superstrings. In particular, the lowest string state appears to be a massless BPS "baryon." Here we show the occurrence of this stringy baryon using a purely field-theoretic method. Moreover, we explicitly demonstrate the "instead-of-confinement" phase, when the screened quarks and gauge bosons of weak coupling are replaced by the confined monopole-antimonopole pairs of strong coupling. English version. Full text (Russian and English) is available at the official web page https://go.spbu.ru/20a2711 .
