Narain CFTs and Quantum Codes at Higher Genus

Understand

Code CFTs are 2d conformal field theories defined by error-correcting codes.

• Recently, Dymarsky and Shapere generalized the construction of code CFTs to include quantum error-correcting codes.
• In this paper, we explore this connection at higher genus.
• We prove that the higher-genus partition functions take the form of polynomials of higher-weight theta functions, and that the higher-genus modular group acts as simple linear transformations on these polynomials.