题目:New Higher Anomalies, SU(2) Yang-Mills Gauge Theory and CP^1 Sigma Model
报告人:万喆彦 ,中国科技大学数学科学学院
时间:6月23号(周日)下午2:30-4:30
地点:东区管理科研楼1208教室
摘要:First, we propose a set of ’t Hooft higher anomalies of 4d time-reversal symmetric pure SU(2)-Yang-Mills (YM) gauge theory with a second-Chern-class topological term atθ=π, via 5d cobordism invariants. Second, we propose a set of ’t Hooft anomalies of 2d CP^1-sigma model with a first-Chern-class topological term atθ=π, via 3d cobordism invariants. Based on manifold generator dimensional reduction, we derive a correspondence between 5d and 3d cobordism invariants, thus broadly prove a more complete anomaly-matching between 4d SU(2)-YM and 2d CP^1 model via a twisted 2-torus reduction, done by taking the Poincare dual of specific cohomology class with Z_2 coefficients. This is a joint work with Juven Wang.
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