Xi Yin | Fall 2023 | Harvard University
An introduction to conformal field theories: conformal bootstrap via the conformal block expansion and semidefinite optimization, the Ising model in 2 and 3 dimensions, and the maximally supersymmetric Yang-Mills theory in four dimensions.
General
Lecture Notes
Conformal Field Theory
Geometric Interpretation of Conformal Symmetry
Basic Consequences of Conformal Symmetry in QFT
Using Conformal Block Decomposition
Linear Programming (Optimization)
4D Gauge Theories with Massless Matter
Deformation of the Background Metric
The "N = 4" Super-Yang-Mills Theory
The 1/N Expansion
Additional Notes
Mathematical Aspects of QM
Path integrals, index theorems, Morse theory, and instantons.
Foundational Aspects of QFT
Wightman axioms, scattering theory, form factors, lattice theory, and Borel resummation.