Course

Spontaneous symmetry breaking continued, the puzzles of SM and the solutions

BRST quantization: a toy model, gauge fixing; BRST quantization for string theory, ghosts in String.

Monte Carlo sampling; summary of hyperparameters in feedforward neural networks

CKM matrix and spontaneous symmetry breaking

The string spectrum; BRST quantization, cohomological field theory, a basic model

How to write down the Standard model Lagrangian

The two-dimensional free boson: Fock space, symmetries, stress energy tensor, Virasoro algebra

Alternatives to gradient descent, backpropagation, recognizing overfitting

Review of gauge theory and standard model particle content.

String perturbation theory: Nambu-Goto action, Polyakov action, gauge fixing