't Hooft Anomaly Matching Conditions for Generalized Symmetries in 2D

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, TeX, corrected minor misprints in text and references

Scientific paper

10.1016/S0370-2693(97)01107-6

The 't Hooft anomaly matching conditions are a standard tool to study and test non-perturbative issues in quantum field theory. We give a new, simple proof of the anomaly matching conditions in 2D Poincare` invariant theories. We consider the case of invariance under a large class of generalized symmetries, which include abelian and non-abelian internal symmetries, space-time symmetries generated by the stress tensor, and W-type of symmetries generated by higher spin currents.

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