Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Celestial and Carrollian Amplitudes and Celestial Liouville Theory

Explore celestial and Carrollian amplitudes in gauge, gravitational, and string theories, and their connection to celestial Liouville theory on non-trivial backgrounds.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Definition of Spin Charge in Asymptotically-Flat Spacetimes

Explore a novel approach to defining spin charge in asymptotically-flat spacetimes using generalized-BMS algebra, coadjoint orbits, and vorticity concepts.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Memory Effect and Carroll Symmetry for Gravitational Waves

Explore gravitational wave detection through particle displacement, integrating geodesic equations using plane wave isometries and Carroll group symmetry to determine particle trajectories.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Supertranslation Invariance and Covariance of Lorentz Charges in General Relativity

Explore supertranslation invariance and covariance of Lorentz charges in general relativity, addressing key problems and presenting new covariant formulas for flux calculations.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Carroll Swiftons - Exploring Carrollian Physics and Holography

Explore Carroll Swiftons in-depth with Marc Henneaux, delving into Carrollian Physics and its connections to holography.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Carroll and Applications - Selected Topics - Lecture 1

Explore Carrollian geometric structures and their role in constructing Ricci-flat spacetimes from Einstein geometries, focusing on applications in asymptotically flat dynamics and holography.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

The Case Against Smooth Null Infinity and the Persistence of Polyhomogeneity

Explore gravitational radiation's asymptotic behavior near spacelike infinity, challenging smooth null infinity and unveiling polyhomogeneous asymptotics in linearized gravity around Schwarzschild.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Fractons and Quantum Theories with Exotic Symmetry

Explore fractons and quantum theories with exotic symmetry, delving into cutting-edge concepts in theoretical physics and their implications.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Fracton Infrared Triangle in Dipole-Conserving Theories

Explore fracton gauge theory, dipole coupling, and IR structures beyond Lorentz symmetry. Uncover double kick memory effect and novel dipole soft theorem in conserved dipole moment theories.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

A Covariant Approach to Fractons: Maxwell Theory of Fractons

Explore a covariant approach to fractons using a generalized Maxwell-like action, examining their relation to gravitons and the emergence of fractonic edge states in bounded systems.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Hydrodynamics: From Relativistic to Carroll - Lecture

Explore hydrodynamics as an effective field theory, focusing on symmetries and their role in constructing Euclidean thermal partition functions for exotic field theories.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Null Raychauduri: Canonical Structure, Dressing Time and Quantum Geometry

Explore canonical structure, dressing time, and quantum geometry in null Raychauduri equations with Laurent Freidel's insightful lecture.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Hyperbolic Mass in 2+1 Dimensions

Explore gluing theorems for time-symmetric vacuum general relativistic initial data sets in 2D space, focusing on mass formulae and Banados geometries near conformal infinity.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

An Introduction to Twistor Theory as Seen from Null Infinity

Explore classical twistor theory, Penrose transform, and non-linear graviton theorem, focusing on null infinity geometry and Newman's H-space. Discuss recent developments in twistor sigma models and Lw-infinity symmetries.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

CFT Explorations of BMS-Like Algebras

Explore conformal field theoretic realisations of BMS-like algebras and their BRST complexes in semi-infinite cohomology.

• YouTube
• 56 minutes
• Self-Paced
• Free Video