Supersymmetric tools in Yang–Mills theories at strong coupling: The beginning of a long journey

DOI10.1142/S0217751X18300090zbMATH Open1387.81357arXiv1804.01191WikidataQ129905467 ScholiaQ129905467MaRDI QIDQ4637955

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Publication date: 3 May 2018

Published in: (Search for Journal in Brave)

Abstract: Development of holomorphy-based methods in super-Yang-Mills theories started in the early 1980s and lead to a number of breakthrough results. I review some results in which I participated. The discovery of Seiberg's duality and the Seiberg-Witten solution of $calN=2$ Yang-Mills were the milestones in the long journey of which, I assume, much will be said in other talks. I will focus on the discovery (2003) of non-Abelian vortex strings with various degree of supersymmetry, supported in some four-dimensional Yang-Mills theories and some intriguing implications of this discovery. One of the recent results is the observation of a soliton string in the bulk $calN=2$ theory with the $U(2)$ gauge group and four flavors, which can become critical in a certain limit. This is the case of a "reverse holography," with a very transparent physical meaning.

Full work available at URL: https://arxiv.org/abs/1804.01191

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