Uploaded November 2024 | Updated September 2026, 2 weeks ago
Speaker: Sabine Harribey (DIAS)
Abstract: Introducing defects for O(N) critical models has recently sparked much interest. Indeed, from a theoretical point of view defects give rise to new universality classes of 3D CFTs that can often be studied analytically. Defects can also describe physical impurities or finite-size effects that can be realised experimentally. In this talk, I will first review line defects and surface defects in the O(N) model. I will then present another approach through interfaces with localised cubic interactions perturbing a quartic multi-scalar model. We computed the one-loop beta functions and then looked for fixed points both analytically and numerically for different bulk symmetries. We found a large landscape of fixed points breaking the bulk symmetry to various subgroups
Speaker: Sabine Harribey (DIAS)
Abstract: Introducing defects for O(N) critical models has recently sparked much interest. Indeed, from a theoretical point of view defects give rise to new universality classes of 3D CFTs that can often be studied analytically. Defects can also describe physical impurities or finite-size effects that can be realised experimentally. In this talk, I will first review line defects and surface defects in the O(N) model. I will then present another approach through interfaces with localised cubic interactions perturbing a quartic multi-scalar model. We computed the one-loop beta functions and then looked for fixed points both analytically and numerically for different bulk symmetries. We found a large landscape of fixed points breaking the bulk symmetry to various subgroups



![Multigap Topological Insulators: Non-Abelian Bands, Riemannian Geometry, Quantised Optical Responses
Speaker: Wojciech Jankowski (University of Cambridge)
Abstract: Multigap topological insulators, which fall beyond the conventional classifications of K-theory [1], are of vivid theoretical and experimental interest in condensed matter physics [2,3]. In this seminar, I will first introduce the homotopy classification of multigap topological phases with bulk topological invariants defined under PT (spacetime inversion) symmetry [3]. I will then cohomologically characterise non-Abelian bands of such phases, focusing on recently identified non-Abelian Hopf insulators with invariants underpinned by quaternion algebras [4]. Furthermore, I will discuss the momentum-space Riemannian geometry of quantum states realised by the multigap Bloch bundles, which I will connect to their physical manifestations in optical responses [5]. Finally, as quantised responses constitute a hallmark of topological phases of matter, I will show that three-dimensional multigap topological insulators can host quantised integrated non-linear shift photoconductivities [6]. I will demonstrate how the quantisation emerges from the momentum-space torsion tensors, connecting these to real Chern-Simons forms, and to virtual multiband optical transition amplitudes. Multigap Topological Insulators: Non-Abelian Bands, Riemannian Geometry, Quantised Optical Responses](https://i.ytimg.com/vi/h6-GiN_beZs/mqdefault.jpg)





![DIAS 85 - STP Workshop - Matrix Membranes and Emergent Spacetime - Day 1
[2025-06-16]
(00:00:05) Harold Steinacker - Quantum spacetime & gravity from IKKT
(00:59:31) Samuel Kovacik - The Fuzzy Onion
(01:37:41) Didina Serban - Correlation functions in integrable supersymmetric gauge theories: Integrability vs. localisation
(02:41:18) Alessandro Manta - Aspects of Covariant Cosmological Quantum Spacetimes in IKKT Matrix Model
(03:21:44) Werner Nahm - What might an axiom for quantum gravity look like? DIAS 85 - STP Workshop - Matrix Membranes and Emergent Spacetime - Day 1](https://i.ytimg.com/vi/jI32XKXVVhM/mqdefault.jpg)
