| Speaker: | Deshuo Liu (Imperial College of London) |
|---|---|
| Title: | Interplay between Generalised Symmetries and Moduli Spaces of 3d N>=4 theories |
| Date (JST): | Wed, Apr 15, 2026, 13:30 - 15:00 |
| Place: | Seminar Room B |
| Related File: | 3536.pdf |
| Abstract: |
Generalised global symmetry has opened new questions about how symmetry is encoded in moduli spaces. This talk studies two families of 3d \mathcal N \ge 4 superconformal field theories as concrete examples. For 3d \mathcal N=5 orthosymplectic ABJ theories and their discrete gaugings, we extend the classification of moduli spaces as orbifolds \mathbb H^{2N}/\Gamma, with \Gamma a quaternionic reflection group, to theories with Spin, O^-, and Pin-type gauge groups. In these cases, the moduli space is controlled not by \Gamma itself, but by a \mathbb Z_2 central extension. We also give a systematic construction of the group governing the moduli space after gauging a \mathbb Z_2 zero-form or one-form symmetry, and show how the corresponding ’t Hooft anomalies appear in both the superconformal index and the moduli space. For 3d \mathcal N=4 general Abelian theories, we propose 3d mirrors for “non-simple” Abelian theories with both discrete and continuous gauge factors, where one-form symmetry is essential. Evidence comes from an exact operator map exchanging Higgs and Coulomb branches, together with explicit Hilbert series computations. These examples sharpen our understanding of the interplay between generalised symmetry and moduli spaces, and raise further questions about how symmetry and anomaly are encoded geometrically. The talk is mainly based on two works: 1. https://arxiv.org/pdf/2511.01970 with Sebastiano Garavaglia, William Harding, Noppadol Mekareeya. 2. https://arxiv.org/pdf/2503.08791 with Julius Grimminger, Amihay Hanany. |
