2017/05/22 by Marianne Leitner, Leitner, Marianne
Mathematics · Physics and Astronomy · #81T40 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:81T40
paper · pdf · doi:10.48550/arxiv.1705.08294
30 pages. Revised and extended version. (The paper was originally part of arXiv:1305.0469, which had been split into the present paper and arXiv:1705.07627.)
arxiv created 2018/08/09 · arxiv updated 2018/08/10
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, this yields modular forms, which can be linked to ordinary differential equations of hypergeometric type with algebraic solutions.