TASI Lectures on Moonshine

Understand

The word moonshine refers to unexpected relations between the two distinct mathematical structures: finite group representations and modular objects.

• It is believed that the key to understanding moonshine is through physical theories with special symmetries.
• Recent years have seen a varieties of new ways in which finite group representations and modular objects can be connected to each other, and these developments have brought promises and also puzzles into the string theory community.
• These lecture notes aim to bring graduate students in theoretical physics and mathematical physics to the forefront of this active research area.