Anomaly matching conditions and the moduli space of supersymmetric gauge theories |
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| Affiliation: | 1. School of Mathematical Sciences, Peking University, Beijing 100871, PR China;2. Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan;3. Department of Mathematics & Statistics, University of Strathclyde, 26 Richmond St, Glasgow G1 1XH, Scotland, UK |
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| Abstract: | The structure of the moduli space of N = 1 supersymmetric gauge theories is analyzed from an algebraic geometric viewpoint. The connection between the fundamental fields of the ultraviolet theory, and the gauge-invariant composite fields of the infrared theory is explained in detail. The results are then used to prove an anomaly matching theorem. The theorem is used to study anomaly matching for supersymmetric QCD, and can explain all the known anomaly matching results for this case. |
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