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• W2893134807 abstract "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 transform with integer spin. Such a theory, formulated in a way that requires no choice of spin structure, and with an odd number of fermion multiplets in representations of spin 4r + 3/2, is inconsistent. The theory is consistent if one picks a spin or spinc structure. Under Higgsing to U(1), the new SU(2) anomaly reduces to a known anomaly of “all-fermion electrodynamics.” Like that theory, an SU(2) theory with an odd number of fermion multiplets in representations of spin 4r + 3/2 can provide a boundary state for a five-dimensional gapped theory whose partition function on a closed five-manifold Y is (−1)∫Yw2w3. All statements have analogs with SU(2) replaced by Sp(2N). There is also an analog in five dimensions." @default.
• W2893134807 created "2018-10-05" @default.
• W2893134807 creator A5032512426 @default.
• W2893134807 creator A5072166156 @default.
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• W2893134807 date "2019-05-01" @default.
• W2893134807 modified "2023-10-18" @default.
• W2893134807 title "A new SU(2) anomaly" @default.
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• W2893134807 doi "https://doi.org/10.1063/1.5082852" @default.
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