Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2013)115
Keywords
Wilson; 't Hooft and Polyakov loops; Discrete and Finite Symmetries; Supersymmetry and Duality; Duality in Gauge Field Theories
Categories
Funding
- Rosa and Emilio Segre Research Award
- Israel Science Foundation center for excellence grant
- German-Israeli Foundation (GIF) for Scientific Research and Development
- Minerva foundation
- Federal German Ministry for Education and Research
- IBM Einstein Fellowship at the Institute for Advanced Study
- DOE [DE-FG02-90ER40542]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- MEXT/JSPS [KAKENHI-25870159]
- WPI research initiative through IPMU, University of Tokyo
- Grants-in-Aid for Scientific Research [25870159] Funding Source: KAKEN
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Starting with a choice of a gauge group in four dimensions, there is often freedom in the choice of magnetic and dyonic line operators. Different consistent choices of these operators correspond to distinct physical theories, with the same correlation functions of local operators in R-4. In some cases these choices are permuted by shifting the theta-angle by 2 pi. In other cases they are labeled by new discrete theta-like parameters. Using this understanding we gain new insight into the dynamics of four-dimensional gauge theories and their phases. The existence of these distinct theories clarifies a number of issues in electric/magnetic dualities of supersynametric gauge theories, both for the conformal N = 4 theories and for the low-energy dualities of N = 1 theories.
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