Topics covered
This workshop will be structured around three key themes, one for each day:
1. Non-Relativistic String and M-theory, Non-Relativistic Holography, Post-Newtonian approximation;
2. Carroll-related phenomena: Black Holes, Hydrodynamics, Cosmology, Flat Space Holography and Fractons;
3. Mathematics of Non-Lorentzian Geometries.
Motivations
In recent years, Non-Lorentzian geometries have attracted growing interest due to their applications across various fields, including high-energy physics, hydrodynamics, cosmology, and condensed matter physics.
Non-Lorentzian geometries can naturally arise from two distinct limit procedures: the non-relativistic limit and its counterpart, the Carroll limit. Applying the non-relativistic limit to string and M-theory allows us to zoom into exactly solvable sectors of more complicated theories. This approach has led to exciting recent developments, such as the formulation of a novel non-AdS holography via the Non-Relativistic AdS/CFT correspondence, the geometric description of a frame-independent post-Newtonian expansion of gravity theories, new applications of integrability in non-relativistic sigma models, and the study of massive non-relativistic higher-spin modes in the fractional quantum Hall effect.
Conversely, the Carroll limit has proven valuable in flat-space holography, as the asymptotic symmetry group of flat spacetime includes a conformal extension of the Carroll group. This limit has also found important applications in hydrodynamics, cosmology, the study of null manifolds (such as black hole horizons), and in understanding quasiparticles with limited mobility, known as fractons.
A common feature of theories emerging from both the non-relativistic and Carroll limits is that their spacetime geometry is described by singular foliated manifolds, such as Newton-Cartan manifolds. These geometries are currently well-studied in mathematics and twistor theory.
Given the wide-ranging applications of Non-Lorentzian geometries, this interdisciplinary workshop aims to bring together participants from diverse backgrounds to exchange ideas and explore new directions.
Registration
Due to limited space, we recommend registering as soon as possible. Please use the designated tab for registration.
Organisers
Eric Bergshoeff (Groningen), Andrea Fontanella (Trinity College Dublin)
Sponsors
The workshop is supported by the Simons Foundation through HMI
