1011.1632 (Marianne Leitner)

CFTs on Riemann Surfaces of genus $g\geq 1$    [PDF]

Marianne Leitner

$N$-point functions of holomorphic fields in rational conformal field
theories can be calculated by methods from complex analysis. We establish
explicit formulas for the 2-point function of the Virasoro field on
hyperelliptic Riemann surfaces of genus $g\geq 1$. $N$-point functions for
higher $N$ are obtained inductively, and we show that they have a nice graph
representation. We discuss the 3-point function with application to the $(2,5)$
minimal model.

View original: http://arxiv.org/abs/1011.1632