A new SU(2) anomaly

  title={A new SU(2) anomaly},
  author={Juven C. Wang and Xiao-Gang Wen and Edward Witten},
  journal={Journal of Mathematical Physics},
A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r+1/2, is inconsistent. We describe here a more subtle anomaly that can affect SU(2) gauge theory in four dimensions under the condition that fermions transform with half-integer spin under SU(2) and bosons with integer spin. Such a theory, formulated in a way that requires no choice… Expand

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