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Comments on Chern-Simons Contact Terms in Three Dimensions

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arxiv 1206.5218 v2 pith:MYFG77W7 submitted 2012-06-22 hep-th

Comments on Chern-Simons Contact Terms in Three Dimensions

classification hep-th
keywords termscontactchern-simonsobservablespartstheyambiguousanomaly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the integer parts of these contact terms are ambiguous, their fractional parts are meaningful physical observables. In N=2 supersymmetric theories with a U(1)_R symmetry some of these observables lead to an anomaly. Moreover, they can be computed exactly using localization, leading to new tests of dualities.

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