HEP Theory Journal Club

Charged Modular Bootstrap For Chiral CFTs

Kale Colville

McGill

The modular bootstrap program utilizes the modular properties of the partition function to constrain the spectrum of a CFT. For general CFTs the strongest bounds come from numerical techniques, but in the case of chiral CFTs a lot more can be done analytically. I will discuss a conjecture that for chiral CFTs with Kac-Moody current algebra, the spectrum necessarily contains charged states with dimension less than or equal to c/24 + 1. This statement can be proven for U(1) factors of the current algebra, and I will provide some numerical evidence for the more general case.