BPS states in omega background and integrability

被引:0
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作者
Kseniya Bulycheva
Heng-yu Chen
Alexander Gorsky
Peter Koroteev
机构
[1] Moscow Institute of Physics and Technology,Department of Physics and Center for Theoretical Sciences
[2] Institute for Theoretical and Experimental Physics,undefined
[3] University of Minnesota,undefined
[4] School of Physics and Astronomy,undefined
[5] Kavli Institute for Theoretical Physics,undefined
[6] National Taiwan University,undefined
来源
Journal of High Energy Physics | / 2012卷
关键词
Supersymmetric gauge theory; Duality in Gauge Field Theories; Solitons Monopoles and Instantons; Integrable Field Theories;
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学科分类号
摘要
We reconsider string and domain wall central charges in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 2 supersymmetric gauge theories in four dimensions in presence of the Omega background in the Nekrasov-Shatashvili (NS) limit. Existence of these charges entails presence of the corresponding topological defects in the theory — vortices and domain walls. In spirit of the 4d/2d duality we discuss the worldsheet low energy effective theory living on the BPS vortex in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} =2 Supersymmetric Quantum Chromodynamics (SQCD). We discuss some aspects of the brane realization of the dualities between various quantum integrable models. A chain of such dualities enables us to check the AGT correspondence in the NS limit.
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