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SciPost Physics Lecture Notes, p 111 (2026)
Scopus
ISSN 2590-1990 · SciPost · 130 artikel di indeks
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Artikel Jurnal
Les Houches lecture notes on moduli spaces of Riemann surfaces
In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces, a fundamental concept in the theories of 2D quantum gravity, topological string theory, and matrix models. We begin by reviewing some basic results concerning the recursive boundary structure of the moduli…
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Coherent-state path integrals in quantum thermodynamics
In these notes, we elucidate some subtle aspects of coherent-state path integrals, focusing on their application to the equilibrium thermodynamics of quantum many-particle systems. These subtleties emerge when evaluating path integrals in the continuum, either in imaginary time or in…
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Probing new physics beyond $\Lambda$CDM with large-scale structure
These lecture notes expand a 90-minute lecture delivered at the Les Houches Summer School "The Dark Universe" (July 2025). The goal is to give an overview of how we probe imprints of new physics beyond $\Lambda$CDM with observations of the large-scale structure (LSS). Two case studies are…
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Les Houches lecture notes on topological recursion
You may have seen the words "topological recursion" mentioned in papers on matrix models, Hurwitz theory, Gromov-Witten theory, topological string theory, knot theory, topological field theory, JT gravity, cohomological field theory, free probability theory, gauge theories, to name a few. The goal…
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Complete topological quantization of higher gauge fields
After global completion of higher gauge fields (as appearing in higher-dimensional supergravity) by proper flux quantization in extraordinary nonabelian cohomology, the (non-perturbative, renormalized) topological quantum observables and quantum states of solitonic field histories are completely…
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Elements of cosmology beyond FLRW
Modern cosmology is based on the cosmological principle, which states that the Universe is statistically homogeneous and isotropic. When applied in its strict – rather than statistical – sense, the cosmological principle leads to the Friedmann–Lemaître–Robertson–Walker (FLRW) model, which serves as…
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Is Lindblad for me?
The Lindblad master equation is a foundational tool for modeling the dynamics of open quantum systems. As its use has extended far beyond its original domain, the boundaries of its validity have grown opaque. In particular, the rise of new research areas including open quantum many body systems…
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Les Houches lecture notes on tensor networks
Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can best be understood by studying the underlying entanglement structure and its associated (generalised)…
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Quantum thermodynamics
The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. These lecture notes provide an introduction to the thermodynamics of small quantum systems. It…
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Lecture notes on machine learning applications for global fits
These lecture notes provide a comprehensive framework for performing global statistical fits in high-energy physics using modern Machine Learning (ML) surrogates. We begin by reviewing the statistical foundations of model building, including the likelihood function, Wilks' theorem, and profile…
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Bridging perturbation theory and simulations: Initial conditions and fast integrators for cosmological simulations
These lecture notes provide an introduction to the generation of initial conditions for cosmological $N$-body simulations. Starting from the definition and properties of Gaussian random fields, we discuss their role in cosmology and the efficient generation of such fields using Fourier methods. The…
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
These lecture notes, based on the course given at IPhT in November/December 2023, provide a pedagogical introduction to the study of strings in AdS$_3$ backgrounds supported by NSNS flux from the worldsheet perspective, including a number of updates incorporating recent results. We attempt to give…
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Who can compete with quantum computers? Lecture notes on quantum inspired tensor networks computational techniques
This is a set of lectures on tensor networks with a strong emphasis on the core algorithms involving Matrix Product States (MPS) and Matrix Product Operators (MPO). Compared to other presentations, particular care has been given to disentangle aspects of tensor networks from the quantum many-body…
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Exactly solvable conformal field theories
We review 2d CFT in the bootstrap approach, and sketch the known exactly solvable CFTs with no extended chiral symmetry: Liouville theory, (generalized) minimal models, limits thereof, and loop CFTs, including the $O(n)$, Potts and $PSU(n)$ CFTs. Exact solvability relies on local conformal…
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How to write a simulator for quantum circuits from scratch: A tutorial
We guide a competent programmer through the programming of a quantum circuit simulator, supporting quantum logic gates with arbitrary control qubits on 20+ qubits, assuming no previous knowledge of quantum computing. We explain qubit-wise multiplication for updating the state vector; how to compute…
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Large deviations in Coulomb gases: A mathematical perspective
These notes account for five ninety-minute lectures given by Mylène Maïda as part of the 2024 Summer School in Les Houches. This 4-week program was entitled Large deviations and applications. The goal of these lectures is to present a series of mathematical results about large deviations of the…
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Les Houches lectures on non-perturbative Seiberg-Witten geometry
In these lectures we detail the interplay between the low-energy dynamics of quantum field theories with four supercharges and the exact WKB analysis. This exposition may be the first comprehensive account of this connection and includes new arguments and results. The lectures start with the…
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Observational constraints on dark matter models
In this short course, which complements the lecture on Dark Matter alternatives, I provide concrete examples of how Dark Matter (DM) models can be tested, whether for generic DM properties, or specific scenarios. First, I review searches for WIMPs, one of the most well-studied DM candidates. I also…
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Lecture notes on normalizing flows for lattice quantum field theories
Numerical simulations of quantum field theories on lattices serve as a fundamental tool for studying the non-perturbative regime of the theories, where analytic tools often fall short. Challenges arise when one takes the continuum limit or as the system approaches a critical point, especially in…
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Non-equilibrium quantum many-body physics with quantum circuits
These are the notes for the 4.5-hour course with the same title that I delivered in August 2025 at the Les Houches summer school “Exact Solvability and Quantum Information’’. In these notes I pedagogically introduce the setting of brickwork quantum circuits and show that it provides a useful…