Name: Categorical Aspects of Symmetries
Start: 2023-08-14T09:00:00+02:00
End: 2023-08-25T18:00:00+02:00
Location: Albano Building 3

Categorical Aspects of Symmetries

from Monday, 14 August 2023 (09:00) to Friday, 25 August 2023 (18:00)

Monday, 14 August 2023

09:30 Workshop registration
Workshop registration
09:30 - 10:30

10:30 Workshop talk 1: PAVEL PUTROV - Q/Z symmetry and non-invertible topological defects from mixed anomalies
Workshop talk 1: PAVEL PUTROV - Q/Z symmetry and non-invertible topological defects from mixed anomalies
10:30 - 12:00
Room: Albano 3: 4204 - SU Conference Room (56 seats) Q/Z symmetry and non-invertible topological defects from mixed anomalies Abstract: in the beginning of the talk I will review how anomalies of different symmetries can be related to each other. I will then show how such relations can be used to determine the classification of anomalies of Q/Z (i.e. torsion subgroup of U(1)) symmetry with discrete topology. I will then review the construction of topological defects in 4d associated to mixed U(1) gauge -- U(1) global anomaly and describe its generalization to the case of mixed gravitational -- U(1) global anomaly. In both cases the topological defects act as Q/Z symmetry on local operators.
Tuesday, 15 August 2023

10:30 Workshop talk 2: IÑAKI GARCÍA ETXEBARRIA - Holography and categorical symmetries
Workshop talk 2: IÑAKI GARCÍA ETXEBARRIA - Holography and categorical symmetries
10:30 - 12:30
Room: Albano 3: 4204 - SU Conference Room (56 seats) Holography and categorical symmetries Abstract: I will review how some aspects of categorical symmetries arise from the dynamics of D-branes in string theory constructions, focusing on the case of holographic setups for N \geq 3 S-folds.

14:30 Discussion Session on Non-Invertible Symmetries
Discussion Session on Non-Invertible Symmetries
14:30 - 15:30
Room: Albano 3: 6228 - Mega (22 seats)
Wednesday, 16 August 2023

10:30 Workshop talk 3: WENJIE JI
Workshop talk 3: WENJIE JI
10:30 - 12:30
Room: Albano 3: 4204 - SU Conference Room (56 seats)

16:00 Workshop seminar - LIANG KONG (online) - A morphism between two QFTs
Workshop seminar - LIANG KONG (online) - A morphism between two QFTs
16:00 - 17:00
A morphism between two QFTs Abstract: A morphism between two mathematical objects of the same type (e.g. groups, algebras, representations, categories, etc.), which preserves the defining structures of the objects, is one of the most important notions in mathematics. However, how to define such a morphism between two QFT's (or quantum phases) had never been considered in physics until arXiv:1502.01690. In this talk, I will give a review of this notion and discuss its applications in the study of topological orders and more general quantum liquids. I will also clarify its relation with "topological symmetries'' or SymTFTs.
Thursday, 17 August 2023

10:30 Workshop talk 4: JÜRGEN FUCHS
Workshop talk 4: JÜRGEN FUCHS
10:30 - 12:30
Room: Albano 3: 4204 - SU Conference Room (56 seats) I will review various categorical structures that arise in the study of two-dimensional rational conformal field theory. The focus will be on structures needed for describing symmetries that are realized by topological defects, and thus on Frobenius algebras in tensor categories and their representations. At the end I will mention aspects of more general situations: beyond rationality, beyond two dimensions, and beyond rigidity.
Friday, 18 August 2023

10:30 Workshop talk 5: YUNQIN ZHENG - An application of SymTFT: group theoretical duality defects
Workshop talk 5: YUNQIN ZHENG - An application of SymTFT: group theoretical duality defects
10:30 - 12:30
Room: Albano 3: 4204 - SU Conference Room (56 seats) An application of SymTFT: group theoretical duality defects Abstract: Group theoretical duality defects are a special type of duality defects that can be mapped to invertible defects by a sequence of twisted gaugings. After giving several motivations of studying such defects, we explain how to determine whether a duality defect is group theoretical. The Symmetry TFT (SymTFT) turns out to be a very useful tool to address this problem. We then first give a brief overview the SymTFT, and use it to provide a computable criteria for the group-theoretical-ness. Then we apply the criteria to two examples: the duality defects associated with gauging Z_N 0- and 1-form symmetries in 2d and 4d respectively. I will end by commenting on the relation between the group theoretical condition, and the condition for free of anomaly as well as the obstruction to duality preserving gapped phases.
Saturday, 19 August 2023
Sunday, 20 August 2023