Name: Beyond Lorentzian Geometry II
Start: 2023-02-06T08:00:00+00:00
End: 2023-02-08T16:30:00+00:00
Location: ICMS

Beyond Lorentzian Geometry II

from Monday, 6 February 2023 (08:00) to Wednesday, 8 February 2023 (16:30)

Monday, 6 February 2023

09:00 Welcome
Welcome
09:00 - 09:30
Room: 5.10
09:30 Review talk: Non-relativistic gravity and non-Lorentzian geometry - Niels Obers
Review talk: Non-relativistic gravity and non-Lorentzian geometry
- Niels Obers
09:30 - 10:30
Room: 5.10 I will review Newton-Cartan gravity with an emphasis on recent developments, including the covariant, off-shell large speed of light expansion of general relativity. Depending on the matter content, this expansion either leads to Newton-Cartan geometry with absolute time or to Newton-Cartan geometry with non-relativistic gravitational time dilation effects. The latter shows that non-relativistic gravity includes a strong field regime and goes beyond Newtonian gravity. Earlier work on Newton-Cartan geometry will be briefly discussed, after which we turn to modern approaches, which include the gauging of the Bargmann algebra, as well as a new notion of `type II' notion of Newton-Cartan geometry which arises from the large speed of light (c) expansion of General Relativity. Finally, I will mention matter couplings, solutions and odd powers in 1/c, as well as a summary of related topics.
10:30 Coffee
Coffee
10:30 - 11:00
Room: 5.10
11:00 Comment on Carroll Quantum Fields - Jan de Boer
Comment on Carroll Quantum Fields
- Jan de Boer
11:00 - 11:45
Room: 5.10
11:45 QFT in Galilean Superspace - Silvia Penati
QFT in Galilean Superspace
- Silvia Penati
11:45 - 12:30
Room: 5.10 I will discuss quantum properties of galilean N=2 supersymmetric theories in d =2+1, primarily focusing on the non-relativistic version of the Wess-Zumino model and SuperQED. Compared with their relativistic cousins, these models exhibit very different behavior. The non-relativistic Wess-Zumino model is one-loop exact, as a consequence of robust non-renormalisation theorems. The non-relativistic electrodynamics is featured by an infinite number of marginal couplings that turn on along the RG flows. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.
12:30 Lunch
Lunch
12:30 - 14:00
Room: 5.10
14:00 Towards a hydrodynamic theory for condensed matter systems - Jay Armas
Towards a hydrodynamic theory for condensed matter systems
- Jay Armas
14:00 - 14:45
Room: 5.10 I will discuss a new hydrodynamic theory using Aristotelian geometry that accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of interstitials and vacancies, and strain relaxation due to plasticity and dislocations. I will focus on signatures of plastic deformations in electronic crystals and show that proliferation of dislocations de-pins the spatially resolved conductivity until the crystal melts, after which point a new phase of a pinned electronic liquid emerges. The framework is applicable to a large class of physical systems including electronic Wigner crystals, multicomponent charge density waves, metals and ordinary crystals.
14:45 Tea
Tea
14:45 - 15:15
Room: 5.10
15:15 The Panorama of Spin Matrix Theory - Troels Harmark
The Panorama of Spin Matrix Theory
- Troels Harmark
15:15 - 16:00
Room: 5.10 I will review some of the features of Spin Matrix theory to motivate why it seems a promising road to a non-relativistic version of the holographic correspondence. As part of this I will mention recent progress on the understanding of the Spin Matrix theory that should include a black hole as its dual.
16:00 Carrollian black holes - Daniel Grumiller
Carrollian black holes
- Daniel Grumiller
16:00 - 16:45
Room: 5.10
Tuesday, 7 February 2023
09:30 Review Talk: Some aspects of non-relativistic strings - Gerben Oling
Review Talk: Some aspects of non-relativistic strings
- Gerben Oling
09:30 - 10:30
Room: 5.10 It has been known for some time that there exists a self-consistent limit of string theory with a non-relativistic spectrum. Over the last few years, many aspects of the resulting non-relativistic string theory have been developed, including its coupling to curved non-Lorentzian backgrounds. In this talk, by means of the analogous constructions for non-relativistic point particles, I will attempt to give an accessible introduction to some of the foundations of these recent developments in non-relativistic string theory. I will also summarize related results on the bulk interpretation of Spin Matrix limits in terms of strings on AdS, which give rises to strings with non-Lorentzian worldsheets.
10:30 Coffee
Coffee
10:30 - 11:00
Room: 5.10
11:00 Non-relativistic massive higher-spin modes in the Fractional Quantum Hall Effect - Giandomenico Palumbo
Non-relativistic massive higher-spin modes in the Fractional Quantum Hall Effect
- Giandomenico Palumbo
11:00 - 11:45
Room: 5.10 It is quite well known that quantum area-preserving diffeomorphisms play a key role in the fractional quantum Hall states (FQHs) and explain, for instance, the incompressibility of the quantum Hall fluids. Moreover, quantum area-preserving diffeomorphisms in two space dimensions are naturally encoded in the so-called Girvin-MacDonald-Plazman (GMP) algebra or in its dual version known as W_{\infinity} algebra. In this talk, firstly I will introduce an effective-field-theory approach that shows the relation between the GMP algebra and the emergence of a non-relativistic massive spin-2 mode in the bulk state of FQHs through the existence of a nematic order. The corresponding nematic order parameter is nothing but a symmetric rank-2 tensor that can be naturally identified with an emergent metric tensor. Secondly, I will generalize this approach by showing how higher-rank symmetric tensors and their corresponding non-relativistic massive higher-spin modes, which should naturally emerge from quantum area-preserving diffeomorphisms, can be indeed introduced and analyzed by considering generalized nematic FQHs. It remains an open question how and if these modes can be derived from a suitable non-relativistic version of linearized higher-spin gravity.
11:45 Higher-form symmetries and topological phase transitions - Akash Jain
Higher-form symmetries and topological phase transitions
- Akash Jain
11:45 - 12:30
Room: 5.10 Symmetries and their breaking patterns are a valuable tool in physics for classifying and describing phases of matter. In recent years, a new generalised notion of symmetries has emerged, dubbed "higher-form symmetries", where the associated conserved charges are carried by higher-dimensional objects like strings and surfaces, instead of the usual point-like particles. In this talk, I will give a brief overview of higher-form symmetries and their spontaneous and explicit breaking patterns. In particular, the explicit breaking of higher-form symmetries is associated with the emergence of topological defects in many-body systems. We will outline a new hydrodynamic framework for systems with (approximate) higher-form symmetries and use this to study transitions between topological phases of matter. This includes the melting phase transition in smectic crystals, the plasma phase transition from polarised gases to magnetohydrodynamics, the superfluid to neutral fluid phase transition, and the Meissner effect in superconductors, among many others. The talk will be based on: https://arxiv.org/abs/2301.09628.
12:30 Lunch
Lunch
12:30 - 14:00
Room: 5.10
14:00 Carroll Stories - Stefan Vandoren
Carroll Stories
- Stefan Vandoren
14:00 - 14:45
Room: 5.10
14:45 Tea
Tea
14:45 - 15:15
Room: 5.10
15:15 Gravitational S-matrix and Carrollian holography - Laura Donnay
Gravitational S-matrix and Carrollian holography
- Laura Donnay
15:15 - 16:00
Room: 5.10 In this talk, I will present recent advances towards a holographic formulation of gravity in asymptotically flat spacetime in terms of a putative conformal Carrollian field theory living at null infinity. I will also comment on how this approach relates to the celestial holography program.
16:00 A New Consistent Limit of Eleven-Dimensional Supergravity - Eric Bergshoeff
A New Consistent Limit of Eleven-Dimensional Supergravity
- Eric Bergshoeff
16:00 - 16:45
Room: 5.10
20:00 Workshop Dinner
Workshop Dinner
20:00 - 22:30
Room: 5.10
Wednesday, 8 February 2023
09:30 Review Talk: Quirks, Novelties, and Curiosities of Fractons - Kevin Grosvenor
Review Talk: Quirks, Novelties, and Curiosities of Fractons
- Kevin Grosvenor
09:30 - 10:30
Room: 5.10 A Fracton is an excitation whose mobility when in isolation is restricted by various types of symmetry (e.g., multipole or subsystem symmetries). However, when these come together, the composite states they form may move much more freely. I will briefly discuss the history of this field and point out some of the conceptual puzzles that have fueled their study. I will focus particularly on the question of UV/IR mixing and how it affects renormalization.
10:30 Coffee
Coffee
10:30 - 11:00
Room: 5.10
11:00 Non-Lorentzian Torus and SL(2, Z) Duality - Ziqi Yan
Non-Lorentzian Torus and SL(2, Z) Duality
- Ziqi Yan
11:00 - 11:45
Room: 5.10 I will talk about some recent progress on non-perturbative SL(2,Z) duality in nonrelativistic string theory, which is a self-contained string theory that has a string spectrum with a Galilean invariant dispersion relation. I will show that the SL(2,Z) duality in this string theory exhibits intriguing new structure. This study provides a precursor towards realizing novel U-duality relations between nonrelativistic and discrete light-cone quantization (DLCQ) string/M-theory, where DLCQ appears in non-perturbative approaches to quantum field theory and string/M-theory, such as in matrix model.
11:45 Geometry of the super Null Infinity - Noémie Parrini
Geometry of the super Null Infinity
- Noémie Parrini
11:45 - 12:30
Room: 5.10 Through the study of homogeneous spaces and thanks to the orbit decomposition of compactified super Minkowski space, I will discuss different geometrical aspects of the supersymmetric version of Null Infinity. The purpose is to tend to a proposition of definition for a super conformal carrollian geometry.
12:30 Lunch
Lunch
12:30 - 14:00
Room: 5.10
14:00 Non-Lorentzian theories with or without constraints - Joaquim Gomis
Non-Lorentzian theories with or without constraints
- Joaquim Gomis
14:00 - 14:45
Room: 5.10 We exhibit a new method of constructing further non-Lorentzian models by applying a method we refer to as starting from a so-called seed Lagrangian. This method typically produces additional constraints in the system that can drastically alter the physical content of the model. We demonstrate our method for particles, strings, scalars, vector fields and JT gravity.
14:45 Tea
Tea
14:45 - 15:15
Room: 5.10
15:15 The Carrollian Kaleidoscope - Arjun Bagchi
The Carrollian Kaleidoscope
- Arjun Bagchi
15:15 - 16:00
Room: 5.10

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