期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2011)133
关键词
Supersymmetric gauge theory; Field Theories in Lower Dimensions; Duality in Gauge Field Theories
A relation between the 4d superconformal index and the S-3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern- Simons levels and round S-3 we explicitly show that the 3d action is obtained from the 4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S-3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a squashing parameter as a limit of the index of a parent 4d theory.
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