Journal
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
Volume 66, Issue 11-12, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201800064
Keywords
Supergravity; Superconformal Theoriy
Categories
Funding
- NRF [2018R1A2B6007159]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2017R1A6A3A03009422]
- Center for Mathematical Sciences and Applications at Harvard University
- National Research Foundation of Korea [2018R1A2B6007159, 2017R1A6A3A03009422] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We study N=2 3-d theories with two adjoints and fundamental flavors along with D-type superpotential. For superpotential WDn+2= Tr (Xn+1 + XY2) with n odd, we propose the 3d dualities, which we motivate from the dimensional reduction of the related 4-d theory. We consider the factorization of the superconformal index and match precisely the vortex partition function of the dual pairs. In the language of the Higgs branch localization, the nonzero contribution of the vortex partition function comes from the discrete Higgs vacua of the massively deformed theory, which precisely matches with that of the dual theory. We also clarify the monopole operators parametrizing the Coulomb branch of such theories. Existence of independent monopole operators of charge 2 is crucial to describe the Coulomb branch.
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