Lectures related to Segal CFT: Hilbert Space Applications

Unitary Minimal Models: Representation Theory Insights

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.

Singular Vectors in Liouville CFT: Representation Theory Insights

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Compactified Imaginary Liouville Theory: Scaling Limits and Challenges

Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.

Quantum Mechanics: Mathematical Framework

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Quantum Field Theory in AdS: State-Operator Correspondence

Covers the study of free particle quantum mechanics in AdS and the State-Operator Correspondence in AdS.

Quantum Mechanics: Measurement

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Unitary Operators: Translation and Transformation

Explores unitary operators for translation and transformation in quantum mechanics.

Crash Course on Quantum Mechanics

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Correlation Functions in Loop Models: Structural Assumptions

Covers correlation functions in loop models and the role of degenerate fields in conformal field theory.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Linear Algebra: Quantum Mechanics

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Addition of Angular Momenta

Explores the addition of angular momenta in quantum mechanics and delves into Bell's Theorem.

Quantum Mechanics: Double-Slit Experiment

Covers the postulates of Quantum Mechanics, the double-slit experiment, and the path integral formulation's significance in understanding quantum phenomena.

Quantum Mechanics Postulates

Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.

Quantum Length of SLE: Natural Parameterization and Properties

Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.

Conformal Bootstrap: OPE and Ward Identities

Explores radial quantization, OPE coefficients, and conformal Ward identities in Conformal Field Theory.