Free fermions - Spin-CFT - superstrings.
Introduction to superstrings - example of a supersymmetric quantum mechanics system.
Branes - Neumann and Dirichlet boundary conditions.
Propagation of string in curved space - String theory effective action from 2d RG flow -Kaluza-Klein compactification - T-duality.
State-Operator map: general states in the free boson Hilbert space - ghost; Sphere correlation function; Scattering amplitude A_{TTT}.
Ghosts in string theory - BRST-symmetric path integral for a bosonic string.
The two-dimensional free boson: mode expansion, fock space; symmetries; the stress energy tensor and the Virasoro algebra.
Path integral for a scalar field; Strings: Nambu Goto action, Polyakov action, Weyl symmetry, gauge fixing, Riemman surface, critical string.
General considerations on string theory: perturbative string theory, D-branes, Dualities.