IAS Theoretical Physics: Celestial Holography and Scattering Amplitudes

This lecture delves into advanced concepts of twisted holography, exploring its implications for quantum gravity and specific constructions within topological field theories.

The final part of this review examines the full scope of the BFSS conjecture, discussing its relation to M-theory and the emergence of spacetime from matrix models.

This session builds upon twisted holography fundamentals, focusing on its mathematical framework, superconformal algebras, and applications in specific AdS/CFT dualities.

This lecture continues the review of the BFSS conjecture, focusing on its perturbative and non-perturbative aspects, and its role in understanding black hole thermodynamics.

This final part investigates advanced topics in soft and collinear factorization, including infrared divergences, factorization theorems, and their application to precision calculations in QCD.

This introductory lecture establishes the foundational concepts of twisted holography, outlining its motivations from string theory and its connections to generalized symmetries.

This initial lecture introduces the BFSS conjecture, exploring its historical context, fundamental principles of matrix string theory, and its relation to D-branes.

This lecture delves deeper into asymptotic symmetries, examining their implications for gravitational wave detection and discussing the infrared triangle of soft theorems, memory effects, and BMS symmetry.

This session continues the primer on self-dual theories, focusing on their advanced mathematical structures, applications in supersymmetric field theories, and connections to S-duality.

This lecture expands on dualities at infinity, exploring the geometry of amplitude spaces, celestial holography, and the role of twistors in simplifying scattering amplitude calculations.

This introductory lecture presents the fundamental concepts of soft and collinear limits in scattering amplitudes, establishing the basis for factorization theorems and infrared safety in QFT.

This lecture provides an introduction to self-dual theories, discussing their definition, historical context, and examples in electromagnetism and gauge theories.

The final part of this series explores advanced topics in Lorentzian CFT, including the conformal bootstrap program, operator product expansions, and their applications to critical phenomena.

This lecture expands on quantum cosmology in de Sitter space, analyzing quantum fluctuations, entanglement entropy, and the information paradox in inflationary models.

This introductory lecture covers the foundations of quantum cosmology in de Sitter space, presenting the challenges of quantum gravity in an expanding universe and basic inflationary models.

This lecture initiates the study of scattering amplitudes and their dualities, introducing the concept of celestial sphere holography and the ambitious program of understanding gravity from flat space amplitudes.

This session concludes the exploration of energy correlators, focusing on their higher-order calculations, non-perturbative effects, and utility in jet substructure analyses at colliders.

This lecture introduces the concept of asymptotic symmetries in gravitational theories, establishing the connection between soft gravitons, memory effects, and the Bondi-Metzner-Sachs group.