期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2022)126
关键词
Duality in Gauge Field Theories; Extended Supersymmetry; Global Symmetries; Supersymmetric Gauge Theory
资金
- University of Milano-Bicocca grant [2016-ATESP0586]
- MIUR-PRIN contract [2017CC72MK003]
- INFN
- ERC [864828]
- Simons collaboration for the Nonperturbative Bootstrap under Simons Foundation [494786]
- European Research Council (ERC) [864828] Funding Source: European Research Council (ERC)
This study examines the zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis (ABJ) and related theories with at least N = 6 supersymmetry in three dimensions. The study focuses on dualities between theories with orthogonal and symplectic gauge groups and those with unitary gauge groups, and maps the symmetries across these dualities.
The zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis (ABJ) and related theories, with at least N = 6 supersymmetry in three dimensions, are examined in detail. Starting from well-known dualities between theories with orthogonal and symplectic gauge groups and those with unitary gauge groups, we gauge their one-form symmetries or their subgroups and obtain new dualities. One side of the latter involves theories with special orthogonal and symplectic gauge groups, and the other side involves theories with unitary gauge groups; there is a discrete quotient on one or both sides of the duality. We study the refined superconformal indices of such theories and map the symmetries across the dualities, with particular attention to their discrete part. As a generalisation, we also find a new duality between a circular quiver with a discrete quotient of alternating special orthogonal and symplectic gauge groups and a three-dimensional N = 4 circular (Kronheimer-Nakajima) quiver with unitary gauge groups, whose Higgs or Coulomb branch describes an instanton on a singular orbifold.
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