2011/08/31 by Francesco Benini, Cyril Closset, Stefano Cremonesi · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Gauge anomaly #Gauge theory #Law #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Seiberg duality #Supersymmetric gauge theory #Symplectic geometry #Theoretical physics #Unitary state #hep-th
paper · pdf · doi:10.1007/jhep10(2011)075
published as JHEP 1110:075,2011 · 42 pages, 2 figures; v2: Corrected typos, added references and a footnote on SUSY breaking; v3: Corrected paragraph at page 33; v4: Typos corrected
openalex publication_date 2011/10/01 · arxiv created 2012/08/14 · arxiv updated 2012/08/15 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S3 match between dual descriptions.