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2d partition function in Ω-background and vortex/instanton correspondence

delete2015-12-16
delete27
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OA
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T
Toshiaki Fujimori *
T
Taro Kimura
M
Muneto Nitta
K
Keisuke Ohashi
DOI:10.1007/JHEP12(2015)110delete
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摘要

摘要

En 中文
We derive the exact vortex partition function in 2d N = (2, 2) gauge theory on the Omega-background, applying the localization scheme in the Higgs phase. We show that the partition function at a finite Omega-deformation parameter epsilon satisfies a system of differential equations, which can be interpreted as a quantized version of the twisted F-term equations characterizing the SUSY vacua. Using the differential equations derived in this paper, we show the correspondence between the partition function of the two-dimensional vortex string worldsheet theory and the Nekrasov partition function at the root of Higgs branch of the four-dimensional N = 2 theory with two Omega-deformation parameters (epsilon(1), epsilon(2)).
Keyword:
Supersymmetric gauge theory
Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
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期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
4.0W
被引数:
13.7W

机构

K
Keio University
学者数:
2.2W
论文数: 1.6W
被引数: 13
U
University of Pisa
学者数:
3.1W
论文数: 2.4W
被引数: 2.4W
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