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Carrollian Physics and Holography

Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Overview

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Explore the emerging field of Carrollian physics through this comprehensive workshop series that examines the mathematical curiosity of taking the speed of light to zero, creating spacetimes where lightcones collapse and causality breaks down. Discover how this seemingly abstract concept has found surprising relevance in modern theoretical physics, particularly in the geometry of null surfaces, Bondi-Metzner-Sachs symmetries, black hole horizons, inflationary cosmology, and holographic correspondences. Learn from leading experts as they present cutting-edge research on Carrollian holography, asymptotic symmetries of gravity, flat space holography, and the connections between Carroll symmetries and gravitational wave memory effects. Delve into advanced topics including BV-AKSZ approaches to asymptotic symmetries, twistor theory applications, soft graviton theorems, relativistic to Carroll hydrodynamics transitions, and fracton physics within Maxwell theory frameworks. Examine the mathematical foundations through discussions of BMS-like algebras, conformal field theory explorations, and the canonical structure of null Raychauduri equations. Investigate practical applications in celestial amplitudes, Carrollian conformal scalars, higher-spin gravity theories, and quantum field theory on asymptotically flat spacetimes. Gain insights into the latest developments in asymptotic structure analysis, superrotation Ward identities, hyperbolic mass concepts in lower dimensions, and the persistence of polyhomogeneity at null infinity. Understand how Carrollian physics bridges diverse areas of theoretical physics from fluid dynamics and holography to quantum geometry and gravitational wave theory.

Syllabus

Arjun Bagchi - Carrollian Holography: Yesterday, today, tomorrow.
Maxim Grigoriev - BV-AKSZ approach to asymptotic symmetries of gravity
Jack Borthwick - Asymptotic structures at timelike infinity from projective geometry
José Figueroa-O'Farrill - CFT explorations of BMS-like algebras
Yannick Herfray - An introduction to twistor theory, as seen from null infinity.
Shreyansh Agrawal - Logarithmic soft graviton theorems from superrotation Ward identities
Jay Armas - Hydrodynamics: from Relativistic to Carroll
Aleksander Głódkowski - Hydrodynamics with dipole conservation
Laurent Freidel - Null Raychauduri: Canonical structure, Dressing time and Quantum geometry
Raphaela Wutte - Hyperbolic Mass in 2+1 Dimensions
Erica Bertolini - A covariant approach to fractons: Maxwell theory of fractons
Leonhard Kehrberger - The Case Against Smooth Null Infinity and the Persistence of Polyhomogeneity
Marios Petropoulos - Carroll and Applications - Selected Topics
Marc Henneaux - Carroll Swiftons
Massimo Porrati - Supertranslation invariance and covariance of Lorentz charges
Peter Horvathy - Memory Effect and Carroll Symmetry for gravitational waves
Daniele Pranzetti - On the definition of the spin charge in asymptotically-flat spacetimes
Stephan Stieberger - Celestial and Carrollian Amplitudes and Celestial Liouville Theory
Nicolas Boulanger - Conformal boundaries of Minkowski superspace and their super cuts
Claudio Dappiaggi - Quantum field theory on asymptotically flat spacetimes and the BMS group
Javier Matulich - Superrotations at Spacelike Infinity
Sabrina Pasterski - Radiation in Holography
Federico Capone - Asymptotic Structure and BMS Symmetries in Any Dimension
Simon Pekar - From Carrollian conformal scalars to flat-space higher-spin gravity
Juan A. Valiente Kroon - BMS-supertranslation charges at the critical sets of null infinity
Piotr T. Chruściel - Characteristic initial data and smoothness of scri
Romain Ruzziconi - Carrollian Amplitudes, Celestial Symmetries and Twistor Space
Glenn Barnich - BMS representations
Amartya Saha - Soft Theorems from Carrollian Physics
Céline Zwikel - New developments on asymptotically leaky boundaries

Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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