Probing Anomalies of Non-Invertible Symmetries with Symmetry TFTs
2023.02.27 16:42
| 날짜 | 2023-03-02 11:00 |
|---|---|
| 연사 | |
| 장소 | E6-2, #1322 |
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We invite you to the High-Energy Theory Seminar this Thursday (Mar. 2nd) at 11 AM.
This week's speaker is Emily Nardoni from Kavli IPMU (Institute for Physics and Mathematics of the Universe, University of Tokyo)
Time: Mar 2nd (Thu) 11 am
Place: E6-2, #1322
Title: Probing Anomalies of Non-Invertible Symmetries with Symmetry TFTs
Abstract: 't Hooft anomalies provide crucial insight into the properties of quantum field theories, imposing powerful constraints on their low energy dynamics. For invertible global symmetries, it is known that the 't Hooft anomalies can be characterized by an invertible TQFT in one higher dimension. However, the analogous statement remains to be understood for non-invertible symmetries. In this talk we will discuss how the linking invariants in a non-invertible TQFT known as the Symmetry TFT can be used as a diagnostic for the anomalies of non-invertible symmetries. We will illustrate this proposal through examples in two and four dimensions, including 4d adjoint QCD, and comment on how knowledge of these anomalies can impose constraints on the dynamics.
Abstract: 't Hooft anomalies provide crucial insight into the properties of quantum field theories, imposing powerful constraints on their low energy dynamics. For invertible global symmetries, it is known that the 't Hooft anomalies can be characterized by an invertible TQFT in one higher dimension. However, the analogous statement remains to be understood for non-invertible symmetries. In this talk we will discuss how the linking invariants in a non-invertible TQFT known as the Symmetry TFT can be used as a diagnostic for the anomalies of non-invertible symmetries. We will illustrate this proposal through examples in two and four dimensions, including 4d adjoint QCD, and comment on how knowledge of these anomalies can impose constraints on the dynamics.
