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Quantum Spectral Curve and Three Point Functions mini-course
In this mini-course we will describe some recent integrability developments in N=4 SYM. Pedro will start with some overview of three point functions in this theory. Paul will introduce the powerful Quantum Spectral Curve formalism describing the full planar spectrum of N=4 SYM starting with some -
Quantum Field Theory 1 2023/24
Quantum Field Theory 1 2023/24 -
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Topological Quantum Field Theories - mini-course
A quantum field theory is deemed topological if it exhibits the remarkable property of being independent of any background metric. In contrast to most other types of quantum field theories, topological quantum field theories possess a well-defined mathematical framework, tracing its roots back to -
General Relativity for Cosmology
This is an advanced graduate course which develops the math and physics of general relativity from scratch up to the highest level. The going will sometimes be steep but I try to be always careful. The purpose is to prepare for studies in quantum gravity, relativistic quantum information, black hole -
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Cosmology (2022/2023)
This class is an introduction to cosmology. We'll cover expansion history of the universe, thermal history, dark matter models, and as much cosmological perturbation theory as time permits. -
Quantum Gravity (2022/2023)
The main focus of this course is the exploration of the symmetry structure of General Relativity which is an essential step before any attempt at a (direct) quantization of GR. We will start by developing powerful tools for the analysis of local symmetries in physical theories (the covariant phase -
Mathematical Physics - Elective (2022/2023)
Title: An introduction to twistors Course Description: Twistor theory, introduced by Penrose many years ago, is a way to reformulate massless fields on four-dimensional space-time in terms of an auxiliary 6-dimensional complex manifold, called twistor space. This course will introduce twistor space -
Quantum Matter (2022/2023)
Matter is quantum. Growing experimental results on materials, natural and synthetic (ion traps, cold atoms etc.,) and concomitant theoretical developments make `quantum matter' an exciting field. There is also a growing interplay of quantum matter physics and quantum information/computation. With a -
AdS/CFT (2022/2023)
We will cover the basics of the gauge/gravity duality, including some of the following aspects: holographic fluids, applications to condensed matter systems, entanglement entropy, and recent advances in understanding the black hole information paradox.