期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2012)099
关键词
Supersymmetry and Duality; Duality in Gauge Field Theories
资金
- Marie Curie Intra-European Fellowship: FP7-PEOPLE-2009-IEF
- STFC [ST/J000353/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000353/1] Funding Source: researchfish
We study N = 4 quiver theories on the three-sphere. We compute partition functions using the localisation method by Kapustin et al. solving exactly the matrix integrals at finite N, as functions of mass and Fayet-Iliopoulos parameters. We find a simple explicit formula for the partition function of the quiver tail T(SU(N)). This formula opens the way for the analysis of star-shaped quivers and their mirrors (that are the Gaiotto-type theories arising from M5 branes on punctured Riemann surfaces). We provide non-perturbative checks of mirror symmetry for infinite classes of theories and find the partition functions of the T-N theory, the building block of generalised quiver theories.
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