arXiv 2011.141212020-11-28hep-th

超对称规范理论中非阿贝尔弦的动力学

Dynamics of non-Abelian strings in supersymmetric gauge theories

E. Ievlev

备注：: 200 pages; PhD thesis, SPbSU and PNPI; English version, full text at go.spbu.ru/20a2711

摘要：

本论文致力于研究超对称规范理论中的强耦合现象（特别是禁闭现象）。研究的中心对象是非阿贝尔弦，它是四维${\mathcal N} = 2$超对称QCD中单极子的“代替禁闭”相的原因，具有U（$N$）规范群和夸克超多重态的$N_f$味，$N \leqslant N_f \leqslant 2 N$。本文证明了当我们跃迁到${\mathcal N} = 1$超对称QCD时，非阿贝尔弦和受限磁单极仍然存在。为此，我们考虑伴随物质的质量项$μ$，在大$μ$的极限下，体理论流到${\mathcal N} = 1$。我们认为这种转变从整体的观点和世界片理论，这是二维$\mathbb{CP}(N-1)$模型。在${\mathcal N} = 1$超对称QCD中，单极子的生存对于“代替禁闭”相和Seiberg-Witten禁闭图都是重要的。除此之外，我们还考虑了具有U $(N=2)$规范群和$N_f=4$夸克超多重态的四维$\mathcal{N} = 2$超对称QCD中的非阿贝尔涡弦。最近的研究表明，这些涡旋表现为临界超弦。特别是，最低的弦状态似乎是一个无质量的BPS“重子。“在这里，我们用纯场论方法证明了这种弦重子的存在。此外，我们明确地证明了“代替禁闭”的阶段，当屏蔽夸克和规范玻色子的弱耦合被取代的禁闭强耦合的反夸克对。英文版。全文（俄文和英文）可在官方网页https://go.spbu.ru/20a2711上查阅。

英文摘要：

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 .

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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