An algebraic approach to minimal models in CFTs

Marianne Leitner

Published 2017-05-22Version 1

CFTs are naturally defined on Riemann surfaces. The rational ones can be solved using methods from algebraic geometry. One particular feature is the covariance of the partition function under the mapping class group. In genus $g=1$, one can apply the standard theory of modular forms, which can be linked to ordinary differential equations of hypergeometric type.