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Reading between the lines of four-dimensional gauge theories

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arxiv 1305.0318 v5 pith:WLI5IZMC submitted 2013-05-02 hep-th

Reading between the lines of four-dimensional gauge theories

classification hep-th
keywords theoriesgaugeoperatorscaseschoicechoicesdistinctdualities
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 2pi. 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 supersymmetric gauge theories, both for the conformal N=4 theories and for the low-energy dualities of N=1 theories.

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