Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve

Understand

This review is based on the lectures given by the author at the Les Houches Summer School 2016.

• It describes the recently developed Quantum Spectral Curve (QSC) for a non-perturbative planar spectrum of N=4 Super Yang-Mills theory in a pedagogical way starting from the harmonic oscillator and avoiding a long historical path.
• We give many examples and provide exercises.
• At the end we give a list of the recent and possible future applications of the QSC.